Prime p₀= 1296929514178691819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 76 2 22 2 64 2 28 2 10 2 (?)
a_n: 0 2 150 152 228 230 252 254 318 320 348 350 360 362
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: 362
Found by: Theadalus
db: batch=77, k=14, 148 76 22 64 28 10

SPT(16)	1296929176527053339	0 20 48 72 78 98 138 180 212 254 294 314 320 344 372 392	-337651638480
SPT(16)	1296929339146680227	0 2 44 50 72 84 182 242 312 372 470 482 504 510 552 554	-175032011592
STPT(10)	1296929383652297597	0 2 42 44 72 74 102 104 144 146	-130526394222
STPT(12)	1296929400065689889	0 2 30 32 42 44 90 92 102 104 132 134	-114113001930
SPT(16)	1296929475378958243	0 6 58 88 96 106 174 180 274 280 348 358 366 396 448 454	-38799733576
SPT(16)	1296929504950410557	0 14 42 72 84 92 114 146 150 182 204 212 224 254 282 296	-9228281262
STPT(10)	1296929695376094719	0 2 18 20 30 32 42 44 60 62	181197402900
TPT(14)	1296929697824033081	0 2 6 8 48 50 90 92 96 98 156 158 198 200	183645341262
STPT(10)	1296929697824033081	0 2 6 8 48 50 90 92 96 98	183645341262
SPT(13)	1296929810913364493	0 48 84 120 228 270 294 318 360 468 504 540 588	296734672674
SPT(16)	1296929946252929129	0 14 38 78 98 102 108 150 212 254 260 264 284 324 348 362	432074237310