Prime p₀= 2167235654422346159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 40 2 40 2 76 2 16 2 22 2 (?)
a_n: 0 2 168 170 210 212 252 254 330 332 348 350 372 374
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: 374
Found by: [SG-FC] hl
db: batch=81, k=14, 166 40 40 76 16 22

SPT(16)	2167233409731630871	0 22 36 42 66 100 130 142 156 168 198 232 256 262 276 298	-2244690715288
STPT(10)	2167234072580079989	0 2 12 14 90 92 168 170 180 182	-1581842266170
STPT(10)	2167234824008200151	0 2 6 8 18 20 30 32 36 38	-830414146008
SPT(16)	2167235171111465747	0 12 54 56 80 96 110 116 210 216 230 246 270 272 314 326	-483310880412
SPT(16)	2167235320797894227	0 12 60 84 86 110 114 132 194 212 216 240 242 266 314 326	-333624451932
SPT(16)	2167235591241869201	0 26 36 48 78 86 128 170 186 228 270 278 308 320 330 356	-63180476958
STPT(10)	2167235776240363721	0 2 6 8 48 50 90 92 96 98	121818017562
STPT(10)	2167235842392109439	0 2 18 20 30 32 42 44 60 62	187969763280
SPT(16)	2167235912385619393	0 6 16 30 36 64 70 76 108 114 120 148 154 168 178 184	257963273234
STPT(10)	2167236293103296027	0 2 30 32 42 44 54 56 84 86	638680949868
STPT(10)	2167236779690748971	0 2 6 8 18 20 30 32 36 38	1125268402812