Prime p₀= 1079685992774906507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 118 2 46 2 40 2 76 2 22 2 (?)
a_n: 0 2 12 14 132 134 180 182 222 224 300 302 324 326
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: 326
Found by: Theadalus
db: batch=76, k=14, 10 118 46 40 76 22

STPT(10)	1079684594686856729	0 2 18 20 30 32 42 44 60 62	-1398088049778
SPT(16)	1079684678769260471	0 8 36 48 50 62 90 102 176 188 216 228 230 242 270 278	-1314005646036
SPT(16)	1079684762259518791	0 18 28 48 70 78 82 138 160 216 220 228 250 270 280 298	-1230515387716
SPT(16)	1079685199841424391	0 12 46 66 78 102 112 138 160 186 196 220 232 252 286 298	-792933482116
SPT(16)	1079685839924179669	0 4 18 30 60 84 88 108 130 150 154 178 208 220 234 238	-152850726838
SPT(16)	1079685886913331851	0 18 26 38 60 138 150 152 156 158 170 248 270 282 290 308	-105861574656
STPT(10)	1079686733424204089	0 2 30 32 60 62 90 92 120 122	740649297582
SPT(16)	1079686773961444739	0 12 60 68 110 138 188 228 272 312 362 390 432 440 488 500	781186538232
SPT(16)	1079687195314745461	0 36 58 66 70 96 148 162 196 210 262 288 292 300 322 358	1202539838954
STPT(10)	1079687884440986057	0 2 30 32 42 44 54 56 84 86	1891666079550
SPT(16)	1079688404922830267	0 24 54 74 92 120 140 152 192 204 224 252 270 290 320 344	2412147923760