Prime p₀= 3035253638955183187 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 12 48 40 14 16 8 46 8 16 14 40 48 12 12 (?)
a_n: 0 12 24 72 112 126 142 150 196 204 220 234 274 322 334 346
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: 346
Found by: JonS
db: batch=82, k=16, 12 12 48 40 14 16 8 46

SPT(16)	3035251769369130133	0 30 60 70 106 168 196 238 258 300 328 390 426 436 466 496	-1869586053054
STPT(10)	3035252803889362751	0 2 36 38 78 80 120 122 156 158	-835065820436
STPT(10)	3035252863440864761	0 2 30 32 60 62 90 92 120 122	-775514318426
SPT(16)	3035253329363385629	0 48 78 90 108 132 140 170 210 240 248 272 290 302 332 380	-309591797558
STPT(10)	3035253395566571999	0 2 78 80 120 122 162 164 240 242	-243388611188
SPT(16)	3035253603092266057	0 10 22 42 84 94 106 154 162 210 222 232 274 294 306 316	-35862917130
STPT(10)	3035253783310036427	0 2 42 44 72 74 102 104 144 146	144354853240
STPT(10)	3035253880910652857	0 2 30 32 42 44 54 56 84 86	241955469670
SPT(16)	3035254182793015343	0 14 30 44 108 200 210 228 320 338 348 440 504 518 534 548	543837832156
SPT(16)	3035254472771559091	0 6 30 58 76 78 118 132 226 240 280 282 300 328 352 358	833816375904
TPT(14)	3035254818965758679	0 2 12 14 78 80 90 92 108 110 180 182 222 224	1180010575492