Prime p₀= 2015544112337709637 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 34 42 14 30 42 18 64 2 28 38 28 2 64 18 42 30 14 42 34 (?)
a_n: 0 34 76 90 120 162 180 244 246 274 312 340 342 406 424 466 496 510 552 586
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 586
Found by: Time_Traveler
db: batch=80, k=20, 34 42 14 30 42 18 64 2 28 38

SPT(16)	2015543008965784663	0 24 70 100 106 126 136 210 304 378 388 408 414 444 490 514	-1103371924974
SPT(16)	2015543050886524759	0 48 52 54 94 130 162 172 210 220 252 288 328 330 334 382	-1061451184878
SPT(16)	2015543487292955267	0 26 32 50 90 126 152 156 200 204 230 266 306 324 330 356	-625044754370
SPT(16)	2015543901887587727	0 12 14 60 110 120 152 200 204 252 284 294 344 390 392 404	-210450121910
SPT(16)	2015543950264129529	0 24 44 122 192 210 212 234 290 312 314 332 402 480 500 524	-162073580108
SPT(16)	2015543972759609681	0 6 12 32 50 96 102 126 152 176 182 228 246 266 272 278	-139578099956
SPT(16)	2015544485025574079	0 14 38 62 78 80 114 134 168 188 222 224 240 264 288 302	372687864442
SPT(16)	2015544517183941119	0 8 18 62 80 120 122 188 204 270 272 312 330 374 384 392	404846231482
STPT(10)	2015545126103239331	0 2 150 152 168 170 186 188 336 338	1013765529694
STPT(10)	2015545610587679711	0 2 30 32 78 80 126 128 156 158	1498249970074
SPT(16)	2015545745669497127	0 14 36 56 74 80 104 126 164 186 210 216 234 254 276 290	1633331787490