Prime p₀= 775646069876117261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 88 2 10 2 70 2 136 2 40 2 (?)
a_n: 0 2 6 8 96 98 108 110 180 182 318 320 360 362
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: 362
Found by: [SG]FX
db: batch=73, k=14, 4 88 10 70 136 40

TPT(14)	775644713237320739	0 2 180 182 222 224 348 350 360 362 372 374 390 392	-1356638796522
STPT(10)	775645026445489271	0 2 36 38 78 80 120 122 156 158	-1043430627990
STPT(10)	775645200067364447	0 2 60 62 72 74 84 86 144 146	-869808752814
SPT(16)	775645440940125827	0 2 30 54 80 102 110 122 144 156 164 186 212 236 264 266	-628935991434
SPT(16)	775645843007658937	0 10 30 46 70 90 112 166 186 240 262 282 306 322 342 352	-226868458324
STPT(10)	775645913812130687	0 2 30 32 42 44 54 56 84 86	-156063986574
SPT(16)	775646143842195889	0 22 40 42 120 138 174 190 222 238 274 292 370 372 390 412	73966078628
SPT(16)	775646280878175263	0 6 18 50 56 74 78 84 110 116 120 138 144 176 188 194	211002058002
STPT(10)	775646609867933801	0 2 6 8 48 50 90 92 96 98	539991816540
STPT(10)	775646613222458741	0 2 30 32 78 80 126 128 156 158	543346341480
SPT(16)	775647124155505123	0 4 48 54 88 96 114 120 124 130 148 156 190 196 240 244	1054279387862