Prime p₀= 574230326610052499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 16 2 40 2 34 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 132 134 168 170
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: 170
Found by: fzs600
db: batch=57, k=14, 28 16 22 16 40 34

SPT(14)	574230224397637877	0 26 32 56 60 72 102 194 224 236 240 264 270 296	-102212414622
SPT(14)	574230241496871307	0 24 66 84 90 126 150 196 220 256 262 280 322 346	-85113181192
SPT(14)	574230284038349209	0 24 108 120 138 144 150 222 228 234 252 264 348 372	-42571703290
SPT(16)	574230320360529251	0 2 6 38 66 80 96 126 152 182 198 212 240 272 276 278	-6249523248
STPT(10)	574230321711644567	0 2 12 14 72 74 132 134 144 146	-4898407932
TPT(12)	574230324668674937	0 2 30 32 42 44 84 86 90 92 174 176	-1941377562
SPT(16)	574230330093980089	0 18 78 90 144 150 160 190 192 222 232 238 292 304 364 382	3483927590
SPT(14)	574230332602709411	0 18 30 56 96 98 126 140 168 170 210 236 248 266	5992656912
SPT(14)	574230345166548331	0 16 18 30 46 88 126 232 270 312 328 340 342 358	18556495832
SPT(14)	574230354677422507	0 30 54 60 64 82 84 100 102 120 124 130 154 184	28067370008
SPT(14)	574230372279013279	0 12 48 58 144 162 190 222 250 268 354 364 400 412	45668960780