Prime p₀= 944375809099678979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 82 2 106 2 28 2 10 2 (?)
a_n: 0 2 18 20 48 50 132 134 240 242 270 272 282 284
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: 284
Found by: stoneageman
db: batch=76, k=14, 16 28 82 106 28 10

SPT(16)	944374476798671473	0 58 76 106 120 126 136 148 156 168 178 184 198 228 246 304	-1332301007506
SPT(16)	944374564290414071	0 26 50 66 72 78 86 92 156 162 170 176 182 198 222 248	-1244809264908
SPT(16)	944374582423982123	0 8 18 24 66 108 116 140 144 168 176 218 260 266 276 284	-1226675696856
SPT(16)	944374879674875249	0 2 14 24 30 80 200 212 480 492 612 662 668 678 690 692	-929424803730
SPT(16)	944374894805102027	0 12 14 42 60 72 80 114 122 156 164 176 194 222 224 236	-914294576952
SPT(16)	944375778415626097	0 16 46 66 84 94 154 156 184 186 246 256 274 294 324 340	-30684052882
SPT(16)	944375870932307453	0 56 128 156 198 246 258 288 356 386 398 446 488 516 588 644	61832628474
TPT(14)	944376175678012841	0 2 36 38 108 110 288 290 306 308 348 350 408 410	366578333862
TPT(14)	944376547301382539	0 2 12 14 120 122 168 170 180 182 210 212 282 284	738201703560
SPT(16)	944376767346898261	0 10 36 90 138 150 180 246 292 358 388 400 448 502 528 538	958247219282
SPT(16)	944376889222554883	0 124 130 174 184 186 270 286 294 310 394 396 406 450 456 580	1080122875904