Prime p₀= 2525111143849112627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 148 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 180 182 210 212 252 254 282 284 312 314
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: 314
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 148 28 40 28 28

SPT(16)	2525110191712915987	0 4 10 34 52 64 66 112 144 190 192 204 222 246 252 256	-952136196640
SPT(16)	2525110268342089409	0 20 38 50 62 92 102 120 230 248 258 288 300 312 330 350	-875507023218
STPT(10)	2525110477692537737	0 2 30 32 72 74 114 116 144 146	-666156574890
SPT(16)	2525110484997734873	0 66 110 120 198 204 224 266 318 360 380 386 464 474 518 584	-658851377754
SPT(16)	2525110529610616133	0 104 114 116 128 168 180 200 294 314 326 366 378 380 390 494	-614238496494
TPT(14)	2525110735843309751	0 2 198 200 258 260 408 410 426 428 438 440 450 452	-408005802876
TPT(14)	2525111198245834799	0 2 18 20 30 32 72 74 102 104 150 152 198 200	54396722172
STPT(10)	2525111304832810649	0 2 42 44 90 92 138 140 180 182	160983698022
STPT(10)	2525111410505156687	0 2 30 32 42 44 54 56 84 86	266656044060
SPT(16)	2525111962230190561	0 22 40 42 90 106 118 132 196 210 222 238 286 288 306 328	818381077934
SPT(16)	2525112328932962473	0 46 78 96 126 154 216 256 288 328 390 418 448 466 498 544	1185083849846