Prime p₀= 2965088395472495009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 64 2 28 2 40 2 40 2 16 2 (?)
a_n: 0 2 102 104 168 170 198 200 240 242 282 284 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 100 64 28 40 40 16

SPT(16)	2965086506638414559	0 18 30 42 92 114 134 168 284 318 338 360 410 422 434 452	-1888834080450
STPT(10)	2965086681060435929	0 2 48 50 90 92 132 134 180 182	-1714412059080
SPT(16)	2965086929535122729	0 24 42 98 102 108 120 150 212 242 254 260 264 320 338 362	-1465937372280
STPT(10)	2965087414818856037	0 2 12 14 42 44 72 74 84 86	-980653638972
SPT(16)	2965087572321627133	0 16 24 64 78 84 108 120 154 166 190 196 210 250 258 274	-823150867876
SPT(16)	2965087921640449987	0 4 16 46 72 90 120 126 160 166 196 214 240 270 282 286	-473832045022
STPT(12)	2965088596732511087	0 2 12 14 54 56 60 62 102 104 114 116	201260016078
SPT(20)	2965088731647533233	0 4 40 64 66 100 106 108 138 150 184 196 226 228 234 268 270 294 330 334	336175038224
STPT(10)	2965089048873017621	0 2 36 38 78 80 120 122 156 158	653400522612
SPT(16)	2965089516736600849	0 22 40 70 100 192 204 238 264 298 310 402 432 462 480 502	1121264105840
SPT(16)	2965089599188310639	0 38 42 44 62 80 90 110 192 212 222 240 258 260 264 302	1203715815630