Prime p₀= 1033585431206523467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 118 2 46 2 10 2 10 2 28 2 (?)
a_n: 0 2 72 74 192 194 240 242 252 254 264 266 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 70 118 46 10 10 28

SPT(16)	1033584358450184771	0 6 60 66 126 150 152 156 266 270 272 296 356 362 416 422	-1072756338696
STPT(10)	1033584360159676151	0 2 30 32 78 80 126 128 156 158	-1071046847316
SPT(16)	1033584422383010507	0 6 36 50 60 66 104 146 270 312 350 356 366 380 410 416	-1008823512960
SPT(16)	1033584502775821013	0 20 44 50 96 180 224 264 290 330 374 458 504 510 534 554	-928430702454
SPT(16)	1033585036856445121	0 10 16 58 76 118 136 166 210 240 258 300 318 360 366 376	-394350078346
SPT(16)	1033585259954073023	0 26 30 60 66 80 114 168 236 290 324 338 344 374 378 404	-171252450444
STPT(10)	1033585439615373257	0 2 30 32 42 44 54 56 84 86	8408849790
STPT(10)	1033585698272522567	0 2 30 32 42 44 54 56 84 86	267065999100
SPT(16)	1033586414787509059	0 10 22 28 54 64 70 120 142 192 198 208 234 240 252 262	983580985592
STPT(10)	1033587042702713921	0 2 36 38 78 80 120 122 156 158	1611496190454
SPT(16)	1033587474213836617	0 22 54 60 76 96 102 126 130 154 160 180 196 202 234 256	2043007313150