Prime p₀= 2117793424091052527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 130 2 4 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 204 206 210 212 240 242 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 28 40 130 4 28 10

STPT(10)	2117791304848869071	0 2 36 38 78 80 120 122 156 158	-2119242183456
SPT(16)	2117791326298108007	0 30 42 56 66 74 96 122 144 170 192 200 210 224 236 266	-2097792944520
SPT(16)	2117791553361935599	0 40 58 84 124 130 142 150 172 180 192 198 238 264 282 322	-1870729116928
STPT(10)	2117792055864006161	0 2 6 8 48 50 90 92 96 98	-1368227046366
STPT(10)	2117792751648092147	0 2 30 32 72 74 114 116 144 146	-672442960380
STPT(10)	2117793342788487977	0 2 30 32 42 44 54 56 84 86	-81302564550
SPT(16)	2117795229742163009	0 42 44 62 90 114 128 134 168 174 188 212 240 258 260 302	1805651110482
STPT(10)	2117795691548766371	0 2 6 8 18 20 30 32 36 38	2267457713844
SPT(16)	2117796549387458729	0 44 54 60 102 108 138 188 234 284 314 320 362 368 378 422	3125296406202
STPT(10)	2117796615082629527	0 2 12 14 72 74 132 134 144 146	3190991577000
STPT(10)	2117796905372127347	0 2 30 32 42 44 54 56 84 86	3481281074820