Prime p₀= 1238033949369064363 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 14 42 4 18 30 50 88 50 30 18 4 42 14 10 (?)
a_n: 0 10 24 66 70 88 118 168 256 306 336 354 358 400 414 424
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: 424
Found by: Paul
db: batch=77, k=16, 10 14 42 4 18 30 50 88

SPT(16)	1238032768636650851	0 8 18 62 86 90 120 156 272 308 338 342 366 410 420 428	-1180732413512
STPT(10)	1238032879094045849	0 2 42 44 90 92 138 140 180 182	-1070275018514
STPT(10)	1238033201378848541	0 2 6 8 18 20 30 32 36 38	-747990215822
SPT(16)	1238033227415381239	0 10 84 90 154 162 178 192 220 234 250 258 322 328 402 412	-721953683124
SPT(16)	1238033910201916033	0 24 34 78 94 100 126 136 138 148 174 180 196 240 250 274	-39167148330
SPT(16)	1238033931935045537	0 26 36 56 122 152 162 180 272 290 300 330 396 416 426 452	-17434018826
TPT(14)	1238033995642992257	0 2 12 14 84 86 162 164 210 212 360 362 402 404	46273927894
STPT(10)	1238034038120038007	0 2 30 32 60 62 90 92 120 122	88750973644
SPT(16)	1238034702606656849	0 98 114 152 164 180 242 252 350 360 422 438 450 488 504 602	753237592486
STPT(10)	1238035393955803139	0 2 48 50 90 92 132 134 180 182	1444586738776
STPT(10)	1238035596236285027	0 2 30 32 42 44 54 56 84 86	1646867220664