Prime p₀= 1082123172118733651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 70 2 40 2 16 2 (?)
a_n: 0 2 30 32 60 62 96 98 168 170 210 212 228 230
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: arkiss
db: batch=76, k=14, 28 28 34 70 40 16

STPT(10)	1082121375150440039	0 2 18 20 30 32 42 44 60 62	-1796968293612
SPT(16)	1082121645111559457	0 12 20 30 32 74 116 144 182 210 252 294 296 306 314 326	-1527007174194
STPT(10)	1082122051057848257	0 2 30 32 72 74 114 116 144 146	-1121060885394
STPT(10)	1082122160023799261	0 2 6 8 48 50 90 92 96 98	-1012094934390
SPT(16)	1082122631025247979	0 14 24 48 62 74 84 102 110 128 138 150 164 188 198 212	-541093485672
SPT(18)	1082122913913183353	0 24 56 78 84 116 144 164 168 176 180 200 228 260 266 288 320 344	-258205550298
STPT(10)	1082123436759445019	0 2 18 20 60 62 102 104 120 122	264640711368
SPT(16)	1082123888771480537	0 2 12 14 54 56 80 90 146 156 180 182 222 224 234 236	716652746886
STPT(10)	1082123909392654937	0 2 54 56 72 74 90 92 144 146	737273921286
STPT(10)	1082124084140276501	0 2 30 32 78 80 126 128 156 158	912021542850
SPT(16)	1082124103827534931	0 42 48 70 72 76 102 142 186 226 252 256 258 280 286 328	931708801280