Prime p₀= 2167588652966678231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 16 2 10 2 136 2 130 2 (?)
a_n: 0 2 36 38 78 80 96 98 108 110 246 248 378 380
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: 380
Found by: [SG-FC] hl
db: batch=81, k=14, 34 40 16 10 136 130

SPT(16)	2167587017551613113	0 54 84 108 114 126 136 178 186 228 238 250 256 280 310 364	-1635415065118
STPT(12)	2167587435288070847	0 2 42 44 72 74 132 134 162 164 204 206	-1217678607384
STPT(10)	2167587603468964679	0 2 30 32 60 62 90 92 120 122	-1049497713552
SPT(16)	2167587771007238519	0 38 90 108 120 168 170 174 284 288 290 338 350 368 420 458	-881959439712
SPT(16)	2167588136016385063	0 10 28 48 94 108 156 196 198 238 286 300 346 366 384 394	-516950293168
SPT(16)	2167588585717234607	0 26 56 114 120 180 204 270 296 362 386 446 452 510 540 566	-67249443624
SPT(16)	2167589746733881529	0 8 24 38 48 50 92 122 180 210 252 254 264 278 294 302	1093767203298
SPT(16)	2167589829662513981	0 2 18 62 72 98 126 132 236 242 270 296 306 350 366 368	1176695835750
SPT(16)	2167589840008119859	0 12 24 54 82 94 100 114 118 132 138 150 178 208 220 232	1187041441628
SPT(16)	2167589844243476509	0 94 108 132 154 160 180 202 240 262 282 288 310 334 348 442	1191276798278
STPT(10)	2167590017436946601	0 2 36 38 78 80 120 122 156 158	1364470268370