Prime p₀= 2319541011315236237 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 40 2 16 2 10 2 10 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 72 74 84 86 102 104 144 146
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: vinn@[CNT]
db: batch=81, k=14, 2 40 2 16 2 10 2

SPT(16)	2319540278194810259	0 18 32 108 122 134 138 144 218 224 228 240 254 330 344 362	-733120425978
STPT(10)	2319540281840407469	0 2 18 20 30 32 42 44 60 62	-729474828768
SPT(16)	2319540383657684459	0 30 48 84 98 110 140 180 188 228 258 270 284 320 338 368	-627657551778
SPT(16)	2319540394189533919	0 22 34 42 52 54 70 84 130 144 160 162 172 180 192 214	-617125702318
SPT(16)	2319540444043946509	0 12 42 72 84 112 114 124 180 190 192 220 232 262 292 304	-567271289728
STPT(10)	2319540731557492757	0 2 12 14 42 44 72 74 84 86	-279757743480
TPT(14)	2319541011315236237	0 2 42 44 60 62 72 74 84 86 102 104 144 146	0
SPT(16)	2319541039588645667	0 2 36 60 86 116 120 132 170 182 186 216 242 266 300 302	28273409430
SPT(16)	2319541123072215787	0 6 34 82 90 156 166 180 196 210 220 286 294 342 370 376	111756979550
SPT(16)	2319541278507395237	0 12 14 36 42 54 176 206 210 240 362 374 380 402 404 416	267192159000
STPT(10)	2319541849732724567	0 2 30 32 42 44 54 56 84 86	838417488330