Prime p₀= 2975151922378735607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 76 2 82 2 88 2 64 2 (?)
a_n: 0 2 72 74 102 104 180 182 264 266 354 356 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 70 28 76 82 88 64

SPT(16)	2975150796966074773	0 34 60 166 190 246 256 270 274 288 298 354 378 484 510 544	-1125412660834
SPT(16)	2975151118113467819	0 54 78 92 114 138 162 170 252 260 284 308 330 344 368 422	-804265267788
TPT(14)	2975151313113655799	0 2 12 14 138 140 168 170 198 200 222 224 270 272	-609265079808
STPT(10)	2975151597953223719	0 2 18 20 30 32 42 44 60 62	-324425511888
SPT(16)	2975151730977537763	0 16 54 60 114 136 148 166 168 186 198 220 274 280 318 334	-191401197844
SPT(16)	2975151817670625881	0 68 78 92 156 212 222 228 260 266 276 332 396 410 420 488	-104708109726
STPT(10)	2975152136737504697	0 2 120 122 180 182 240 242 360 362	214358769090
STPT(10)	2975152606589287181	0 2 36 38 78 80 120 122 156 158	684210551574
STPT(10)	2975152966919359727	0 2 54 56 72 74 90 92 144 146	1044540624120
SPT(16)	2975152989265831481	0 48 56 72 120 162 198 200 228 230 266 308 356 372 380 428	1066887095874
SPT(16)	2975153083975477759	0 22 34 84 90 132 142 168 274 300 310 352 358 408 420 442	1161596742152