Prime p₀= 2112119562171452261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 58 2 64 2 28 2 10 2 (?)
a_n: 0 2 150 152 180 182 240 242 306 308 336 338 348 350
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: 350
Found by: matsu_pl
db: batch=80, k=14, 148 28 58 64 28 10

SPT(16)	2112118738943630863	0 6 10 40 84 136 154 166 288 300 318 370 414 444 448 454	-823227821398
STPT(10)	2112118861225757141	0 2 6 8 18 20 30 32 36 38	-700945695120
SPT(18)	2112119169180947153	0 36 56 66 78 80 138 140 170 174 204 206 264 266 278 288 308 344	-392990505108
STPT(10)	2112119269803714527	0 2 30 32 72 74 114 116 144 146	-292367737734
STPT(10)	2112119275365073361	0 2 30 32 78 80 126 128 156 158	-286806378900
STPT(10)	2112119519766832781	0 2 6 8 18 20 30 32 36 38	-42404619480
STPT(10)	2112119769422034311	0 2 30 32 60 62 90 92 120 122	207250582050
SPT(16)	2112119853478356377	0 6 24 90 134 192 200 210 266 276 284 342 386 452 470 476	291306904116
SPT(16)	2112119884007744311	0 28 88 100 106 120 136 166 252 282 298 312 318 330 390 418	321836292050
SPT(16)	2112120000246040487	0 2 6 14 20 72 86 104 132 150 164 216 222 230 234 236	438074588226
STPT(10)	2112120009228890291	0 2 36 38 78 80 120 122 156 158	447057438030