Prime p₀= 1856393258994919751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 40 2 58 2 106 2 40 2 (?)
a_n: 0 2 78 80 96 98 138 140 198 200 306 308 348 350
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: 350
Found by: amazing
db: batch=79, k=14, 76 16 40 58 106 40

SPT(16)	1856392199453141291	0 42 50 68 86 96 102 120 218 236 242 252 270 288 296 338	-1059541778460
SPT(16)	1856392325579643707	0 30 36 56 114 144 170 176 240 246 272 302 360 380 386 416	-933415276044
STPT(10)	1856392410232292057	0 2 30 32 72 74 114 116 144 146	-848762627694
SPT(16)	1856392807068186119	0 18 80 84 134 168 210 230 288 308 350 384 434 438 500 518	-451926733632
SPT(16)	1856392898188039873	0 16 30 34 54 60 90 100 114 124 154 160 180 184 198 214	-360806879878
STPT(10)	1856393143195537547	0 2 42 44 72 74 102 104 144 146	-115799382204
SPT(16)	1856393375256606271	0 16 28 42 66 72 186 196 222 232 346 352 376 390 402 418	116261686520
STPT(10)	1856393589846210377	0 2 30 32 42 44 54 56 84 86	330851290626
SPT(16)	1856393719616602591	0 22 46 90 132 172 210 220 288 298 336 376 418 462 486 508	460621682840
STPT(10)	1856393840384791397	0 2 30 32 42 44 54 56 84 86	581389871646
SPT(16)	1856393932000816309	0 10 28 40 48 54 70 114 118 162 178 184 192 204 222 232	673005896558