Prime p₀= 2048122252701187589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 70 2 28 2 28 2 94 2 22 2 (?)
a_n: 0 2 120 122 192 194 222 224 252 254 348 350 372 374
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: 374
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 118 70 28 28 94 22

SPT(16)	2048121637769924741	0 6 30 48 56 78 96 120 188 212 230 252 260 278 302 308	-614931262848
SPT(16)	2048121656062705781	0 18 20 62 68 110 122 192 266 336 348 390 396 438 440 458	-596638481808
STPT(10)	2048121964596929231	0 2 6 8 48 50 90 92 96 98	-288104258358
STPT(10)	2048122004117558189	0 2 18 20 30 32 42 44 60 62	-248583629400
SPT(16)	2048122225555643143	0 34 48 100 118 124 168 210 238 280 324 330 348 400 414 448	-27145544446
TPT(14)	2048122226298832349	0 2 12 14 108 110 180 182 210 212 222 224 240 242	-26402355240
STPT(10)	2048122350876268697	0 2 30 32 60 62 90 92 120 122	98175081108
STPT(10)	2048122560685423667	0 2 30 32 42 44 54 56 84 86	307984236078
SPT(16)	2048122633868817437	0 12 42 44 54 96 156 164 252 260 320 362 372 374 404 416	381167629848
SPT(16)	2048122688077675607	0 32 54 60 62 84 102 156 170 224 242 264 266 272 294 326	435376488018
SPT(16)	2048122944402474157	0 40 52 70 100 102 130 142 192 204 232 234 264 282 294 334	691701286568