Prime p₀= 2911436609717100761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 130 2 46 2 28 2 22 2 (?)
a_n: 0 2 30 32 36 38 168 170 216 218 246 248 270 272
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: 272
Found by: Landjunge
db: batch=82, k=14, 28 4 130 46 28 22

STPT(10)	2911435482774718811	0 2 6 8 18 20 30 32 36 38	-1126942381950
SPT(16)	2911435650847325219	0 8 18 74 122 140 182 224 228 270 312 330 378 434 444 452	-958869775542
STPT(10)	2911435985154888551	0 2 6 8 48 50 90 92 96 98	-624562212210
SPT(18)	2911436081472776833	0 10 54 66 96 108 120 148 150 154 156 184 196 208 238 250 294 304	-528244323928
SPT(16)	2911436192957946977	0 66 86 96 102 110 114 126 140 152 156 164 170 180 200 266	-416759153784
STPT(10)	2911436489535292601	0 2 36 38 78 80 120 122 156 158	-120181808160
SPT(16)	2911437407401505839	0 64 82 94 132 154 162 204 208 250 258 280 318 330 348 412	797684405078
STPT(10)	2911437607647379409	0 2 18 20 30 32 42 44 60 62	997930278648
SPT(16)	2911439181116015227	0 40 72 96 132 156 172 210 226 264 280 304 340 364 396 436	2571398914466
TPT(14)	2911439608972964999	0 2 12 14 18 20 180 182 210 212 222 224 228 230	2999255864238
STPT(10)	2911439762225535659	0 2 18 20 30 32 42 44 60 62	3152508434898