Prime p₀= 2625876620518963811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 88 2 16 2 22 2 46 2 28 2 (?)
a_n: 0 2 18 20 108 110 126 128 150 152 198 200 228 230
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: 230
Found by: JayPi
db: batch=82, k=14, 16 88 16 22 46 28

SPT(16)	2625875395276637173	0 4 28 64 90 234 238 250 258 270 274 418 444 480 504 508	-1225242326638
SPT(16)	2625875504249519231	0 42 50 56 90 108 132 230 318 416 440 458 492 498 506 548	-1116269444580
TPT(14)	2625876169612420169	0 2 12 14 18 20 42 44 102 104 210 212 228 230	-450906543642
SPT(16)	2625876235681106063	0 14 60 68 90 96 120 194 210 284 308 314 336 344 390 404	-384837857748
STPT(10)	2625876396686163317	0 2 30 32 72 74 114 116 144 146	-223832800494
STPT(10)	2625876511274202617	0 2 54 56 72 74 90 92 144 146	-109244761194
SPT(16)	2625876836779238219	0 42 48 84 104 128 140 150 182 192 204 228 248 284 290 332	216260274408
SPT(16)	2625876986313570929	0 14 78 90 114 120 132 164 168 200 212 218 242 254 318 332	365794607118
TPT(14)	2625877074522868259	0 2 18 20 90 92 168 170 252 254 300 302 342 344	454003904448
STPT(10)	2625877182867594791	0 2 36 38 78 80 120 122 156 158	562348630980
SPT(13)	2625877254193471783	0 18 36 60 150 168 198 228 246 336 360 378 396	633674507972