Prime p₀= 2330498822345657441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 118 2 28 2 28 2 10 2 (?)
a_n: 0 2 30 32 36 38 156 158 186 188 216 218 228 230
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: 230
Found by: JonS
db: batch=81, k=14, 28 4 118 28 28 10

SPT(16)	2330497470640848797	0 14 36 66 72 74 144 156 170 182 252 254 260 290 312 326	-1351704808644
STPT(10)	2330497517318411711	0 2 6 8 48 50 90 92 96 98	-1305027245730
SPT(16)	2330497661480248019	0 50 102 110 182 212 224 260 264 300 312 342 414 422 474 524	-1160865409422
SPT(16)	2330497825475032189	0 4 12 30 34 54 72 84 118 130 148 168 172 190 198 202	-996870625252
SPT(16)	2330498081524478729	0 42 50 62 110 120 132 152 162 182 194 204 252 264 272 314	-740821178712
STPT(10)	2330498634440065259	0 2 18 20 30 32 42 44 60 62	-187905592182
SPT(16)	2330498882434633367	0 42 56 74 92 114 156 182 204 230 272 294 312 330 344 386	60088975926
SPT(16)	2330499099102094339	0 28 34 40 84 90 94 108 160 174 178 184 228 234 240 268	276756436898
SPT(16)	2330499323050841309	0 44 54 68 72 104 122 134 168 180 198 230 234 248 258 302	500705183868
SPT(16)	2330499334447572401	0 12 80 122 138 156 192 242 246 296 332 350 366 408 476 488	512101914960
SPT(16)	2330499526404206893	0 16 46 54 94 126 138 156 178 196 208 240 280 288 318 334	704058549452