Prime p₀= 2807617426654175921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 4 2 40 2 28 2 10 2 (?)
a_n: 0 2 36 38 120 122 126 128 168 170 198 200 210 212
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: 212
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 34 82 4 40 28 10

STPT(10)	2807615938934317541	0 2 30 32 60 62 90 92 120 122	-1487719858380
STPT(12)	2807616239392945577	0 2 42 44 60 62 114 116 132 134 174 176	-1187261230344
SPT(16)	2807616637550930027	0 14 42 54 60 84 92 170 186 264 272 296 302 314 342 356	-789103245894
STPT(10)	2807616942381171797	0 2 30 32 60 62 90 92 120 122	-484273004124
SPT(16)	2807616965099014829	0 48 50 68 132 150 168 200 210 242 260 278 342 360 362 410	-461555161092
STPT(10)	2807617089676994471	0 2 30 32 60 62 90 92 120 122	-336977181450
STPT(10)	2807617435048596221	0 2 6 8 18 20 30 32 36 38	8394420300
TPT(14)	2807617665674427887	0 2 30 32 84 86 114 116 162 164 204 206 264 266	239020251966
SPT(16)	2807617686654866489	0 18 20 48 108 110 140 152 180 192 222 224 284 312 314 332	260000690568
SPT(16)	2807617757063699213	0 14 20 36 54 78 90 96 308 314 326 350 368 384 390 404	330409523292
SPT(16)	2807618711045072137	0 16 64 70 76 136 142 156 160 174 180 240 246 252 300 316	1284390896216