Prime p₀= 3001666836885048719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 10 2 64 2 82 2 4 2 (?)
a_n: 0 2 78 80 90 92 102 104 168 170 252 254 258 260
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: 260
Found by: [SG-FC] hl
db: batch=82, k=14, 76 10 10 64 82 4

STPT(10)	3001665313056039599	0 2 12 14 30 32 48 50 60 62	-1523829009120
STPT(10)	3001665707612669087	0 2 12 14 72 74 132 134 144 146	-1129272379632
SPT(16)	3001665951686371807	0 12 22 24 70 94 136 144 172 180 222 246 292 294 304 316	-885198676912
TPT(16)	3001666255273186937	0 2 174 176 210 212 252 254 300 302 324 326 384 386 414 416	-581611861782
STPT(10)	3001666426126180997	0 2 30 32 60 62 90 92 120 122	-410758867722
SPT(13)	3001666527849595987	0 6 30 66 132 210 216 222 300 366 402 426 432	-309035452732
STPT(10)	3001667456795472077	0 2 30 32 42 44 54 56 84 86	619910423358
SPT(16)	3001667489592175561	0 22 36 42 106 108 132 196 282 346 370 372 436 442 456 478	652707126842
STPT(10)	3001667832546779621	0 2 36 38 78 80 120 122 156 158	995661730902
SPT(16)	3001669111932437383	0 6 34 48 90 138 156 216 268 328 346 394 436 450 478 484	2275047388664
SPT(16)	3001669209162278797	0 6 10 90 130 154 156 172 174 190 192 216 256 336 340 346	2372277230078