Prime p₀= 2499243620588197121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 64 2 40 2 10 2 58 2 (?)
a_n: 0 2 18 20 90 92 156 158 198 200 210 212 270 272
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: 272
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 16 70 64 40 10 58

STPT(10)	2499241951771178321	0 2 36 38 78 80 120 122 156 158	-1668817018800
SPT(16)	2499241975281603569	0 2 44 80 84 122 162 164 180 182 222 260 264 300 342 344	-1645306593552
STPT(12)	2499242298176515247	0 2 30 32 42 44 102 104 114 116 144 146	-1322411681874
SPT(16)	2499242334220317859	0 10 24 52 54 60 78 82 90 94 112 118 120 148 162 172	-1286367879262
STPT(10)	2499242576650038017	0 2 30 32 42 44 54 56 84 86	-1043938159104
STPT(10)	2499243590099742257	0 2 30 32 72 74 114 116 144 146	-30488454864
SPT(13)	2499243636222804703	0 24 108 114 168 204 264 324 360 414 420 504 528	15634607582
STPT(10)	2499243649074061991	0 2 6 8 48 50 90 92 96 98	28485864870
STPT(10)	2499243879209271281	0 2 6 8 48 50 90 92 96 98	258621074160
SPT(16)	2499243983952961079	0 32 42 50 132 134 182 200 234 252 300 302 384 392 402 434	363364763958
SPT(16)	2499244035872504191	0 12 46 66 90 126 130 148 150 168 172 208 232 252 286 298	415284307070