Prime p₀= 779658639831906869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 40 2 16 2 10 2 100 2 (?)
a_n: 0 2 12 14 108 110 150 152 168 170 180 182 282 284
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: 284
Found by: GLeeM
db: batch=73, k=14, 10 94 40 16 10 100

SPT(16)	779656669049385131	0 26 72 110 132 140 156 170 198 212 228 236 258 296 342 368	-1970782521738
STPT(10)	779656716585662987	0 2 30 32 42 44 54 56 84 86	-1923246243882
SPT(16)	779657220525641581	0 12 40 90 160 168 210 216 292 298 340 348 418 468 496 508	-1419306265288
SPT(16)	779657259797626517	0 2 6 26 84 152 216 222 284 290 354 422 480 500 504 506	-1380034280352
SPT(16)	779657340709502699	0 38 68 72 78 80 104 132 170 198 222 224 230 234 264 302	-1299122404170
SPT(16)	779657459033698981	0 22 30 36 112 120 136 142 150 156 172 180 256 262 270 292	-1180798207888
SPT(16)	779658701779834159	0 10 22 54 70 82 108 112 150 154 180 192 208 240 252 262	61947927290
SPT(16)	779658788328625441	0 10 52 82 90 126 136 148 150 162 172 208 216 246 288 298	148496718572
STPT(10)	779658808320410111	0 2 36 38 78 80 120 122 156 158	168488503242
STPT(10)	779659462086151187	0 2 72 74 102 104 132 134 204 206	822254244318
SPT(16)	779659732772824469	0 2 42 48 54 68 80 90 122 132 144 158 164 170 210 212	1092940917600