Prime p₀= 2338564411023479279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 28 2 46 2 70 2 4 2 (?)
a_n: 0 2 90 92 102 104 132 134 180 182 252 254 258 260
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: 260
Found by: arkiss
db: batch=81, k=14, 88 10 28 46 70 4

SPT(16)	2338563524281256749	0 10 54 64 70 78 88 102 130 144 154 162 168 178 222 232	-886742222530
STPT(10)	2338563684245752427	0 2 90 92 102 104 114 116 204 206	-726777726852
STPT(10)	2338563703558133729	0 2 18 20 30 32 42 44 60 62	-707465345550
SPT(16)	2338563748046337421	0 22 52 100 102 168 186 208 210 232 250 316 318 366 396 418	-662977141858
STPT(10)	2338564064178101651	0 2 48 50 108 110 168 170 216 218	-346845377628
STPT(12)	2338564327099286981	0 2 36 38 48 50 78 80 90 92 126 128	-83924192298
SPT(16)	2338564420729165747	0 24 34 42 46 100 112 132 154 174 186 240 244 252 262 286	9705686468
SPT(16)	2338565145791508539	0 2 12 20 50 68 78 90 92 104 114 132 162 170 180 182	734768029260
STPT(10)	2338565567981093159	0 2 18 20 60 62 102 104 120 122	1156957613880
SPT(16)	2338565802211871473	0 40 70 124 150 174 184 208 360 384 394 418 444 498 528 568	1391188392194
SPT(16)	2338565844391543441	0 22 72 136 138 142 148 180 208 240 246 250 252 316 366 388	1433368064162