Prime p₀= 1065765659579778497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 10 2 28 2 124 2 22 2 (?)
a_n: 0 2 42 44 72 74 84 86 114 116 240 242 264 266
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: 266
Found by: stoneageman
db: batch=76, k=14, 40 28 10 28 124 22

SPT(16)	1065765061936759001	0 32 80 86 96 102 132 140 198 206 236 242 252 258 306 338	-597643019496
STPT(10)	1065765170970297701	0 2 36 38 78 80 120 122 156 158	-488609480796
SPT(16)	1065765228210988567	0 12 30 34 36 52 100 124 192 216 264 280 282 286 304 316	-431368789930
SPT(16)	1065765298736791951	0 12 36 46 58 90 96 156 172 232 238 270 282 292 316 328	-360842986546
STPT(10)	1065765375339455039	0 2 18 20 30 32 42 44 60 62	-284240323458
STPT(10)	1065765631316034917	0 2 30 32 72 74 114 116 144 146	-28263743580
STPT(10)	1065766095084652571	0 2 30 32 78 80 126 128 156 158	435504874074
SPT(16)	1065766403417384849	0 12 14 50 102 122 152 162 182 192 222 242 294 330 332 344	743837606352
STPT(10)	1065766509308031239	0 2 18 20 60 62 102 104 120 122	849728252742
SPT(16)	1065766516051820299	0 22 94 124 148 150 208 222 250 264 322 324 348 378 450 472	856472041802
SPT(16)	1065766641520675421	0 38 42 66 90 92 120 150 158 188 216 218 242 266 270 308	981940896924