Prime p₀= 2523254694201999839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 94 2 28 2 28 2 22 2 (?)
a_n: 0 2 12 14 72 74 168 170 198 200 228 230 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 10 58 94 28 28 22

SPT(16)	2523253973378259593	0 38 80 104 108 120 138 170 174 206 224 236 240 264 306 344	-720823740246
SPT(13)	2523254289845323901	0 18 48 72 102 132 150 168 198 228 252 282 300	-404356675938
SPT(16)	2523254360722769939	0 2 12 62 80 104 182 192 212 222 300 324 342 392 402 404	-333479229900
STPT(10)	2523254414208125327	0 2 30 32 72 74 114 116 144 146	-279993874512
STPT(10)	2523254541144404057	0 2 12 14 42 44 72 74 84 86	-153057595782
SPT(16)	2523254589302770207	0 10 16 42 114 126 136 174 262 300 310 322 394 420 426 436	-104899229632
TPT(14)	2523254744308132361	0 2 36 38 60 62 90 92 126 128 156 158 198 200	50106132522
STPT(10)	2523255261925057727	0 2 12 14 42 44 72 74 84 86	567723057888
TPT(14)	2523255910732826849	0 2 108 110 138 140 222 224 228 230 240 242 282 284	1216530827010
TPT(14)	2523256243868281487	0 2 54 56 222 224 282 284 294 296 324 326 354 356	1549666281648
SPT(16)	2523256251403898039	0 8 18 42 50 72 150 182 228 260 338 360 368 392 402 410	1557201898200