Prime p₀= 1399750240562776273 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 4 114 12 2 30 42 34 42 30 2 12 114 4 6 (?)
a_n: 0 6 10 124 136 138 168 210 244 286 316 318 330 444 448 454
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 454
Found by: eclipse99
db: batch=78, k=16, 6 4 114 12 2 30 42 34

SPT(16)	1399748498156474021	0 30 56 90 92 96 98 152 156 210 212 216 218 252 278 308	-1742406302252
SPT(16)	1399748637419088581	0 8 42 56 78 86 102 108 140 146 162 170 192 206 240 248	-1603143687692
STPT(10)	1399749199258329077	0 2 54 56 72 74 90 92 144 146	-1041304447196
TPT(14)	1399749472003629431	0 2 150 152 156 158 198 200 240 242 306 308 486 488	-768559146842
SPT(16)	1399749645888144389	0 24 54 68 80 90 98 104 144 150 158 168 180 194 224 248	-594674631884
SPT(20)	1399749993529649611	0 70 72 150 178 192 220 238 258 282 286 310 330 348 376 390 418 496 498 568	-247033126662
STPT(10)	1399750300645336439	0 2 48 50 60 62 72 74 120 122	60082560166
STPT(10)	1399750355235014987	0 2 12 14 42 44 72 74 84 86	114672238714
SPT(16)	1399750385642033963	0 38 68 84 150 174 200 224 240 264 290 314 380 396 426 464	145079257690
SPT(16)	1399750653947726033	0 44 108 128 150 170 200 204 254 258 288 308 330 350 414 458	413384949760
SPT(18)	1399750757421333607	0 6 54 72 96 154 174 202 220 306 324 352 372 430 454 472 520 526	516858557334