Prime p₀= 1245749678489448071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 10 2 16 2 190 2 40 2 (?)
a_n: 0 2 30 32 186 188 198 200 216 218 408 410 450 452
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: 452
Found by: stoneageman
db: batch=77, k=14, 28 154 10 16 190 40

SPT(16)	1245748543762321759	0 10 12 28 40 90 112 118 144 150 172 222 234 250 252 262	-1134727126312
STPT(10)	1245748604224653101	0 2 126 128 138 140 150 152 276 278	-1074264794970
SPT(16)	1245749079245332913	0 56 66 104 146 150 180 194 210 224 254 258 300 338 348 404	-599244115158
STPT(10)	1245749449542903671	0 2 36 38 78 80 120 122 156 158	-228946544400
STPT(10)	1245749582755089857	0 2 30 32 42 44 54 56 84 86	-95734358214
SPT(16)	1245749654211233533	0 24 40 48 64 66 96 108 136 148 178 180 196 204 220 244	-24278214538
TPT(14)	1245750648728049551	0 2 6 8 66 68 90 92 138 140 150 152 246 248	970238601480
STPT(10)	1245751305748397417	0 2 54 56 72 74 90 92 144 146	1627258949346
SPT(16)	1245751348635763793	0 18 38 50 80 104 116 134 150 168 180 204 234 246 266 284	1670146315722
SPT(16)	1245751452514695421	0 22 58 72 120 142 148 150 190 192 198 220 268 282 318 340	1774025247350
SPT(16)	1245751780207871009	0 20 62 68 78 80 98 110 120 132 150 152 162 168 210 230	2101718422938