Prime p₀= 2666090124061106597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 124 2 10 2 28 2 130 2 28 2 (?)
a_n: 0 2 114 116 240 242 252 254 282 284 414 416 444 446
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: 446
Found by: [SG-FC] hl
db: batch=82, k=14, 112 124 10 28 130 28

SPT(16)	2666087769429583321	0 18 40 72 78 130 142 162 208 228 240 292 298 330 352 370	-2354631523276
STPT(10)	2666088234911658239	0 2 48 50 90 92 132 134 180 182	-1889149448358
SPT(16)	2666088538735652897	0 44 60 66 72 86 102 116 180 194 210 224 230 236 252 296	-1585325453700
SPT(18)	2666088887720259931	0 12 18 30 42 46 52 90 112 156 178 216 222 226 238 250 256 268	-1236340846666
STPT(10)	2666089251875558651	0 2 6 8 18 20 30 32 36 38	-872185547946
STPT(10)	2666089576931960129	0 2 18 20 30 32 42 44 60 62	-547129146468
SPT(16)	2666090319449278279	0 10 42 48 64 82 180 192 220 232 330 348 364 370 402 412	195388171682
STPT(10)	2666090595796653209	0 2 42 44 120 122 198 200 240 242	471735546612
STPT(10)	2666090761072632077	0 2 30 32 60 62 90 92 120 122	637011525480
SPT(16)	2666091164885744611	0 46 58 78 96 126 156 192 226 262 292 322 340 360 372 418	1040824638014
STPT(10)	2666091680910105977	0 2 42 44 72 74 102 104 144 146	1556848999380