Prime p₀= 2936371184955093581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 88 2 64 2 22 2 4 2 (?)
a_n: 0 2 36 38 120 122 210 212 276 278 300 302 306 308
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: 308
Found by: fzs600
db: batch=82, k=14, 34 82 88 64 22 4

SPT(16)	2936370153984120901	0 10 22 36 42 78 112 132 166 186 220 256 262 276 288 298	-1030970972680
SPT(16)	2936370252745595591	0 6 60 116 126 150 168 186 212 230 248 272 282 338 392 398	-932209497990
STPT(10)	2936370555694582187	0 2 24 26 42 44 60 62 84 86	-629260511394
SPT(16)	2936370640812611473	0 48 64 70 76 106 120 130 174 184 198 228 234 240 256 304	-544142482108
STPT(10)	2936370713190758057	0 2 30 32 42 44 54 56 84 86	-471764335524
SPT(16)	2936370913398328477	0 12 22 40 60 120 142 162 172 192 214 274 294 312 322 334	-271556765104
STPT(10)	2936371499817914831	0 2 30 32 78 80 126 128 156 158	314862821250
TPT(14)	2936371647450482009	0 2 18 20 30 32 42 44 138 140 168 170 192 194	462495388428
SPT(16)	2936371743129164947	0 22 34 52 76 84 94 124 132 162 172 180 204 222 234 256	558174071366
SPT(16)	2936371802052687689	0 38 54 60 74 80 92 120 122 150 162 168 182 188 204 242	617097594108
SPT(16)	2936372111739204013	0 16 64 66 78 84 106 126 178 198 220 226 238 240 288 304	926784110432