Prime p₀= 2025599167540723889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 58 2 64 2 22 2 (?)
a_n: 0 2 30 32 72 74 102 104 162 164 228 230 252 254
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: Orange Kid
db: batch=80, k=14, 28 40 28 58 64 22

SPT(16)	2025597900386640997	0 46 76 102 132 172 186 216 226 256 270 310 340 366 396 442	-1267154082892
SPT(16)	2025598577147544037	0 16 22 42 52 84 94 106 150 162 172 204 214 234 240 256	-590393179852
SPT(16)	2025598767787192987	0 4 42 70 72 82 114 124 132 142 174 184 186 214 252 256	-399753530902
STPT(10)	2025598891487163857	0 2 42 44 72 74 102 104 144 146	-276053560032
SPT(16)	2025598910020330441	0 46 60 96 102 112 118 142 156 180 186 196 202 238 252 298	-257520393448
SPT(16)	2025599123119167763	0 46 48 90 118 136 138 150 154 166 168 186 214 256 258 304	-44421556126
TPT(14)	2025599196698385851	0 2 30 32 48 50 90 92 180 182 210 212 240 242	29157661962
SPT(16)	2025599467852573559	0 20 44 62 90 114 134 140 162 168 188 212 240 258 282 302	300311849670
SPT(16)	2025599610023316413	0 14 66 80 114 126 146 186 188 228 248 260 294 308 360 374	442482592524
STPT(10)	2025599890535698361	0 2 66 68 108 110 150 152 216 218	722994974472
STPT(12)	2025600944058217649	0 2 30 32 60 62 138 140 168 170 198 200	1776517493760