Prime p₀= 2031109912042126457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 52 2 16 2 40 2 16 2 76 2 (?)
a_n: 0 2 120 122 174 176 192 194 234 236 252 254 330 332
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: 332
Found by: arkiss
db: batch=80, k=14, 118 52 16 40 16 76

SPT(16)	2031108503761202741	0 78 96 162 236 248 276 288 380 392 420 432 506 572 590 668	-1408280923716
STPT(10)	2031108775677802937	0 2 30 32 42 44 54 56 84 86	-1136364323520
SPT(16)	2031108860995171781	0 6 18 26 42 48 66 68 90 92 110 116 132 140 152 158	-1051046954676
STPT(10)	2031109141121838131	0 2 6 8 48 50 90 92 96 98	-770920288326
STPT(10)	2031109557247393307	0 2 24 26 42 44 60 62 84 86	-354794733150
SPT(16)	2031109572912336341	0 8 42 68 80 110 152 222 248 318 360 390 402 428 462 470	-339129790116
SPT(16)	2031110558039873731	0 18 40 58 70 88 102 130 150 178 192 210 222 240 262 280	645997747274
SPT(16)	2031110655060797311	0 22 28 30 66 72 96 150 238 292 316 322 358 360 366 388	743018670854
SPT(18)	2031110754363506909	0 20 42 44 48 78 80 98 104 108 114 132 134 164 168 170 192 212	842321380452
SPT(16)	2031110784130331219	0 38 68 78 110 140 144 170 192 218 222 252 284 294 324 362	872088204762
SPT(16)	2031110835486393281	0 18 38 62 78 92 102 158 252 308 318 332 348 372 392 410	923444266824