Prime p₀= 1442257677173994053 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 30 30 18 30 6 6 30 18 30 30 6 (?)
a_n: 0 6 36 66 84 114 120 126 156 174 204 234 240
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 240
Found by: rlacr
db: batch=78, k=13, 6 30 30 18 30 6

SPT(18)	1442256236941538167	0 66 156 160 186 216 244 300 304 336 340 396 424 454 480 484 574 640	-1440232455886
SPT(16)	1442256681482878973	0 6 38 96 104 164 176 204 290 318 330 390 398 456 488 494	-995691115080
STPT(10)	1442256829767800477	0 2 30 32 72 74 114 116 144 146	-847406193576
SPT(16)	1442256833170205257	0 10 22 30 64 150 154 162 184 192 196 282 316 324 336 346	-844003788796
STPT(10)	1442256937135439627	0 2 42 44 72 74 102 104 144 146	-740038554426
SPT(16)	1442257044067523623	0 10 58 64 66 88 114 120 184 190 216 238 240 246 294 304	-633106470430
SPT(16)	1442257801040216561	0 8 18 30 36 102 126 128 240 242 266 332 338 350 360 368	123866222508
SPT(16)	1442257902943062431	0 18 20 42 78 80 102 132 158 188 210 212 248 270 272 290	225769068378
TPT(14)	1442258489782884461	0 2 120 122 240 242 396 398 408 410 438 440 510 512	812608890408
SPT(16)	1442258579362102657	0 16 22 42 84 96 100 136 210 246 250 262 304 324 330 346	902188108604
SPT(16)	1442258593807416793	0 24 28 90 108 114 144 154 174 184 214 220 238 300 304 328	916633422740