Prime p₀= 2969017072272543767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 34 2 52 2 64 2 28 2 22 2 (?)
a_n: 0 2 24 26 60 62 114 116 180 182 210 212 234 236
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: 236
Found by: [SG-FC] hl
db: batch=82, k=14, 22 34 52 64 28 22

STPT(10)	2969015047960957277	0 2 60 62 72 74 84 86 144 146	-2024311586490
SPT(16)	2969015237631018893	0 20 36 48 78 80 104 108 116 120 144 146 176 188 204 224	-1834641524874
SPT(16)	2969015445818493497	0 2 24 44 56 60 114 144 152 182 236 240 252 272 294 296	-1626454050270
SPT(16)	2969015702624841589	0 48 118 124 132 154 168 174 178 184 198 220 228 234 304 352	-1369647702178
SPT(16)	2969015983217051083	0 24 28 120 130 136 184 210 214 240 288 294 304 396 400 424	-1089055492684
SPT(16)	2969016676280275967	0 12 26 80 114 170 180 192 194 206 216 272 306 360 374 386	-395992267800
TPT(14)	2969017215660732077	0 2 72 74 90 92 132 134 162 164 174 176 210 212	143388188310
SPT(16)	2969017599344162603	0 26 74 90 138 216 228 240 254 266 278 356 404 420 468 494	527071618836
STPT(10)	2969017913645464529	0 2 30 32 60 62 90 92 120 122	841372920762
STPT(10)	2969018044790982971	0 2 66 68 138 140 210 212 276 278	972518439204
SPT(16)	2969018612488142693	0 14 30 44 90 128 134 140 168 174 180 218 264 278 294 308	1540215598926