Prime p₀= 995148900378886457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 70 2 88 2 46 2 40 2 (?)
a_n: 0 2 12 14 42 44 114 116 204 206 252 254 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 10 28 70 88 46 40

SPT(16)	995147852519293729	0 34 40 48 90 138 154 172 240 258 274 322 364 372 378 412	-1047859592728
TPT(14)	995148083767536467	0 2 30 32 60 62 84 86 150 152 222 224 234 236	-816611349990
SPT(16)	995148176778999767	0 2 12 14 32 60 72 116 150 194 206 234 252 254 264 266	-723599886690
STPT(10)	995148180342469331	0 2 6 8 48 50 90 92 96 98	-720036417126
STPT(10)	995148305066467301	0 2 36 38 78 80 120 122 156 158	-595312419156
SPT(16)	995148557068997641	0 10 18 36 46 76 150 160 246 256 330 360 370 388 396 406	-343309888816
STPT(10)	995149025149624517	0 2 30 32 42 44 54 56 84 86	124770738060
SPT(16)	995149832504885591	0 6 56 66 72 98 150 156 242 248 300 326 332 342 392 398	932125999134
SPT(16)	995150021749906739	0 8 78 84 110 120 194 198 260 264 338 348 374 380 450 458	1121371020282
SPT(16)	995150994757069607	0 2 14 42 66 116 140 144 212 216 240 290 314 342 354 356	2094378183150
STPT(10)	995151032514139607	0 2 30 32 42 44 54 56 84 86	2132135253150