Prime p₀= 2309594168239915631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 40 2 46 2 76 2 22 2 (?)
a_n: 0 2 18 20 48 50 90 92 138 140 216 218 240 242
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: 242
Found by: FritzB
db: batch=81, k=14, 16 28 40 46 76 22

SPT(16)	2309593188647752009	0 10 28 70 150 178 190 198 274 282 294 322 402 444 462 472	-979592163622
SPT(16)	2309593420856881091	0 18 32 36 60 72 80 98 150 168 176 188 212 216 230 248	-747383034540
STPT(10)	2309593457659041017	0 2 60 62 102 104 144 146 204 206	-710580874614
SPT(16)	2309593470257903957	0 54 116 152 156 194 204 212 234 242 252 290 294 330 392 446	-697982011674
STPT(12)	2309593925726338619	0 2 30 32 42 44 90 92 102 104 132 134	-242513577012
STPT(10)	2309593999697676971	0 2 30 32 198 200 366 368 396 398	-168542238660
SPT(16)	2309594594256395027	0 26 60 72 126 140 162 170 252 260 282 296 350 362 396 422	426016479396
STPT(10)	2309594628809680097	0 2 30 32 72 74 114 116 144 146	460569764466
SPT(16)	2309594951938163731	0 22 66 88 100 106 190 196 312 318 402 408 420 442 486 508	783698248100
SPT(16)	2309595536584295831	0 6 26 56 110 132 146 180 188 222 236 258 312 342 362 368	1368344380200
STPT(10)	2309595541834415501	0 2 6 8 18 20 30 32 36 38	1373594499870