Prime p₀= 2111924728660920389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 28 2 40 2 106 2 40 2 (?)
a_n: 0 2 30 32 138 140 168 170 210 212 318 320 360 362
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: Euphoriabuzz
db: batch=80, k=14, 28 106 28 40 106 40

STPT(10)	2111923850783401937	0 2 60 62 102 104 144 146 204 206	-877877518452
SPT(16)	2111924007667195133	0 20 48 74 80 114 140 188 210 258 284 318 324 350 378 398	-720993725256
TPT(14)	2111924014735773629	0 2 42 44 138 140 210 212 222 224 312 314 360 362	-713925146760
STPT(10)	2111924381502719429	0 2 42 44 120 122 198 200 240 242	-347158200960
SPT(16)	2111924382613232459	0 18 38 72 98 122 128 152 240 264 270 294 320 354 374 392	-346047687930
STPT(10)	2111924591247230831	0 2 36 38 78 80 120 122 156 158	-137413689558
SPT(16)	2111924897923916899	0 28 42 82 108 118 124 168 214 258 264 274 300 340 354 382	169262996510
SPT(16)	2111925168714688337	0 2 14 44 86 90 110 132 134 156 176 180 222 252 264 266	440053767948
SPT(16)	2111925281260274503	0 6 24 30 100 136 156 184 210 238 258 294 364 370 388 394	552599354114
STPT(10)	2111925784639949777	0 2 30 32 102 104 174 176 204 206	1055979029388
TPT(16)	2111926727181164909	0 2 30 32 42 44 78 80 108 110 318 320 372 374 402 404	1998520244520