Prime p₀= 2337070376202866149 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 14 28 2 4 14 10 38 10 14 4 2 28 14 40 (?)
a_n: 0 40 54 82 84 88 102 112 150 160 174 178 180 208 222 262
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: 262
Found by: Landjunge
db: batch=81, k=16, 40 14 28 2 4 14 10 38

SPT(16)	2337069201199531553	0 24 30 128 138 150 186 206 258 278 314 326 336 434 440 464	-1175003334596
SPT(16)	2337069622133709511	0 42 46 72 90 100 118 132 166 180 198 208 226 252 256 298	-754069156638
STPT(10)	2337069649870051697	0 2 12 14 42 44 72 74 84 86	-726332814452
SPT(16)	2337069722262769187	0 2 14 30 74 80 92 110 126 144 156 162 206 222 234 236	-653940096962
SPT(16)	2337069835935366107	0 14 20 30 72 80 90 92 162 164 174 182 224 234 240 254	-540267500042
SPT(16)	2337069985397569909	0 22 60 84 90 112 138 148 264 274 300 322 328 352 390 412	-390805296240
SPT(16)	2337070474513442821	0 28 60 66 108 126 138 208 240 310 322 340 382 388 420 448	98310576672
STPT(10)	2337071093012368367	0 2 54 56 72 74 90 92 144 146	716809502218
STPT(10)	2337071114384371007	0 2 24 26 42 44 60 62 84 86	738181504858
STPT(10)	2337071240721088757	0 2 30 32 42 44 54 56 84 86	864518222608
SPT(18)	2337071289745032469	0 10 24 72 154 178 184 192 214 348 370 378 384 408 490 538 552 562	913542166320