Prime p₀= 2786397443668837079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 94 2 58 2 82 2 64 2 112 2 (?)
a_n: 0 2 72 74 168 170 228 230 312 314 378 380 492 494
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: 494
Found by: JayPi
db: batch=82, k=14, 70 94 58 82 64 112

SPT(16)	2786394281950995629	0 12 30 44 72 92 110 114 158 162 180 200 228 242 260 272	-3161717841450
TPT(14)	2786394789887944787	0 2 30 32 54 56 102 104 144 146 222 224 234 236	-2653780892292
SPT(16)	2786395601453038423	0 4 16 28 84 136 214 216 298 300 378 430 486 498 510 514	-1842215798656
SPT(16)	2786396294771410949	0 12 14 108 180 188 194 222 260 288 294 302 374 468 470 482	-1148897426130
SPT(16)	2786396529440481283	0 40 60 144 184 214 250 264 316 330 366 396 436 520 540 580	-914228355796
SPT(18)	2786397358841368567	0 12 40 84 94 114 120 142 154 180 192 214 220 240 250 294 322 334	-84827468512
SPT(16)	2786398258093796713	0 28 54 120 154 156 174 190 294 310 328 330 364 430 456 484	814424959634
SPT(16)	2786398265091568573	0 4 28 54 66 78 88 136 138 186 196 208 220 246 270 274	821422731494
STPT(10)	2786398641826983917	0 2 24 26 42 44 60 62 84 86	1198158146838
TPT(14)	2786398789376409539	0 2 90 92 210 212 222 224 300 302 378 380 402 404	1345707572460
SPT(16)	2786399018966474503	0 48 54 100 118 160 226 280 384 438 504 546 564 610 616 664	1575297637424