Prime p₀= 2409657405701796431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 130 2 4 2 40 2 118 2 70 2 (?)
a_n: 0 2 18 20 150 152 156 158 198 200 318 320 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 16 130 4 40 118 70

SPT(16)	2409656804874480419	0 18 24 42 48 84 98 102 110 114 128 164 170 188 194 212	-600827316012
SPT(16)	2409656966998773983	0 14 96 138 150 156 168 200 204 236 248 254 266 308 390 404	-438703022448
STPT(10)	2409657151124545247	0 2 72 74 102 104 132 134 204 206	-254577251184
SPT(16)	2409657188798562121	0 28 40 46 70 72 130 132 136 138 196 198 222 228 240 268	-216903234310
STPT(10)	2409657270948727739	0 2 42 44 60 62 78 80 120 122	-134753068692
STPT(10)	2409657386962077137	0 2 12 14 42 44 72 74 84 86	-18739719294
SPT(16)	2409657655483376923	0 16 34 60 130 144 174 190 210 226 256 270 340 366 384 400	249781580492
STPT(10)	2409657795605569511	0 2 30 32 60 62 90 92 120 122	389903773080
SPT(16)	2409657962257491727	0 42 52 126 130 210 222 262 264 304 316 396 400 474 484 526	556555695296
STPT(10)	2409658013631538037	0 2 30 32 42 44 54 56 84 86	607929741606
SPT(16)	2409658075770812561	0 78 90 120 132 182 188 212 246 270 276 326 338 368 380 458	670069016130