Prime p₀= 1013234188335491443 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 6 8 42 10 24 54 26 54 24 10 42 8 6 10 (?)
a_n: 0 10 16 24 66 76 100 154 180 234 258 268 310 318 324 334
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 334
Found by: Theadalus
db: batch=76, k=16, 10 6 8 42 10 24 54 26

SPT(16)	1013231474273049953	0 6 38 50 96 104 110 126 188 204 210 218 264 276 308 314	-2714062441490
STPT(10)	1013231986511563409	0 2 48 50 90 92 132 134 180 182	-2201823928034
STPT(10)	1013232086268356621	0 2 6 8 18 20 30 32 36 38	-2102067134822
STPT(10)	1013232692484187421	0 2 30 32 120 122 210 212 240 242	-1495851304022
SPT(13)	1013233100608744879	0 78 120 132 168 180 210 240 252 288 300 342 420	-1087726746564
SPT(16)	1013233856120838031	0 10 12 102 148 172 180 198 220 238 246 270 316 406 408 418	-332214653412
STPT(10)	1013234228991134609	0 2 18 20 30 32 42 44 60 62	40655643166
SPT(16)	1013234452317652771	0 40 72 90 118 142 162 192 208 238 258 282 310 328 360 400	263982161328
STPT(10)	1013235366610959431	0 2 30 32 60 62 90 92 120 122	1178275467988
SPT(16)	1013235385951206589	0 12 54 72 78 100 112 124 138 150 162 184 190 208 250 262	1197615715146
STPT(12)	1013235638725790021	0 2 36 38 48 50 78 80 90 92 126 128	1450390298578