Prime p₀= 810935703596124047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 196 2 10 2 28 2 16 2 (?)
a_n: 0 2 60 62 84 86 282 284 294 296 324 326 342 344
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: 344
Found by: KPX
db: batch=73, k=14, 58 22 196 10 28 16

TPT(14)	810934503023151977	0 2 72 74 150 152 162 164 252 254 264 266 294 296	-1200572972070
STPT(10)	810934767209921621	0 2 36 38 78 80 120 122 156 158	-936386202426
SPT(16)	810934942677572353	0 36 64 70 84 120 130 214 306 390 400 436 450 456 484 520	-760918551694
TPT(14)	810935104577070791	0 2 48 50 108 110 126 128 138 140 168 170 180 182	-599019053256
STPT(10)	810935210469195569	0 2 18 20 30 32 42 44 60 62	-493126928478
STPT(10)	810935611523344661	0 2 6 8 48 50 90 92 96 98	-92072779386
STPT(10)	810936080906688101	0 2 30 32 78 80 126 128 156 158	377310564054
SPT(20)	810936141964609447	0 22 36 96 216 220 246 282 300 360 376 436 454 490 516 520 640 700 714 736	438368485400
SPT(18)	810936579906630013	0 46 58 106 144 148 154 166 168 226 228 240 246 250 288 336 348 394	876310505966
SPT(16)	810936835290574301	0 26 36 38 56 86 92 122 126 156 162 192 210 212 222 248	1131694450254
TPT(14)	810936835916370599	0 2 72 74 78 80 168 170 228 230 252 254 258 260	1132320246552