Prime p₀= 2515237183422103067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 58 2 124 2 10 2 (?)
a_n: 0 2 12 14 54 56 114 116 174 176 300 302 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 10 40 58 58 124 10

SPT(16)	2515234805974959319	0 28 58 82 108 132 160 270 292 402 430 454 480 504 534 562	-2377447143748
STPT(10)	2515234995953156831	0 2 6 8 48 50 90 92 96 98	-2187468946236
STPT(12)	2515235120868861647	0 2 12 14 42 44 60 62 90 92 102 104	-2062553241420
SPT(16)	2515235938447090211	0 20 38 72 90 92 168 170 210 212 288 290 308 342 360 380	-1244975012856
SPT(16)	2515236678463035127	0 12 42 126 142 150 186 196 210 220 256 264 280 364 394 406	-504959067940
TPT(14)	2515237076865473501	0 2 60 62 78 80 186 188 228 230 246 248 270 272	-106556629566
STPT(10)	2515237555264746617	0 2 30 32 42 44 54 56 84 86	371842643550
SPT(16)	2515237712569947283	0 6 46 70 100 120 136 174 256 294 310 330 360 384 424 430	529147844216
SPT(16)	2515237744935165617	0 14 54 56 86 104 120 132 134 146 162 180 210 212 252 266	561513062550
TPT(14)	2515238501720506097	0 2 54 56 72 74 90 92 174 176 180 182 282 284	1318298403030
SPT(16)	2515238540157100343	0 20 24 54 78 98 110 134 234 258 270 290 314 344 348 368	1356734997276