Prime p₀= 1047523171006203119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 28 2 130 2 4 2 40 2 (?)
a_n: 0 2 42 44 60 62 90 92 222 224 228 230 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 40 16 28 130 4 40

SPT(16)	1047522396082876507	0 6 36 54 84 112 114 180 226 292 294 322 352 370 400 406	-774923326612
SPT(16)	1047522640887804817	0 16 36 54 64 66 120 126 250 256 310 312 322 340 360 376	-530118398302
SPT(16)	1047522688787802523	0 66 130 150 168 174 186 220 234 268 280 286 304 324 388 454	-482218400596
SPT(16)	1047522720198600059	0 8 24 30 44 50 60 98 144 182 192 198 212 218 234 242	-450807603060
SPT(16)	1047522772302181457	0 2 20 32 66 116 140 150 266 276 300 350 384 396 414 416	-398704021662
SPT(16)	1047522853732959313	0 24 30 36 58 76 106 120 274 288 318 336 358 364 370 394	-317273243806
STPT(10)	1047523399574365499	0 2 78 80 120 122 162 164 240 242	228568162380
SPT(16)	1047523427479301831	0 6 32 38 50 60 66 78 230 242 248 258 270 276 302 308	256473098712
SPT(16)	1047523483495211993	0 6 26 48 54 78 98 240 284 426 446 470 476 498 518 524	312489008874
SPT(16)	1047523608868429051	0 16 42 60 102 118 126 172 186 232 240 256 298 316 342 358	437862225932
TPT(14)	1047523640896641281	0 2 6 8 60 62 90 92 156 158 228 230 240 242	469890438162