Prime p₀= 3091446531123394259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: herby44
db: batch=83, k=10, 2 10 2 16 2

SPT(16)	3091445055774908233	0 4 18 24 46 76 108 150 154 196 228 258 280 286 300 304	-1475348486026
SPT(16)	3091445217804426947	0 2 14 32 44 60 62 84 230 252 254 270 282 300 312 314	-1313318967312
STPT(10)	3091445288675387591	0 2 96 98 138 140 180 182 276 278	-1242448006668
SPT(16)	3091446248770240187	0 36 60 72 110 114 116 140 156 180 182 186 224 236 260 296	-282353154072
STPT(10)	3091446383417879687	0 2 30 32 72 74 114 116 144 146	-147705514572
SPT(16)	3091446445467822523	0 78 90 138 156 160 174 226 228 280 294 298 316 364 376 454	-85655571736
SPT(16)	3091447097018088223	0 6 18 24 88 90 94 126 178 210 214 216 280 286 298 304	565894693964
STPT(12)	3091447526658755819	0 2 18 20 102 104 198 200 282 284 300 302	995535361560
STPT(10)	3091447700974508999	0 2 12 14 30 32 48 50 60 62	1169851114740
SPT(16)	3091447815193688029	0 22 48 58 78 84 100 114 238 252 268 274 294 304 330 352	1284070293770
SPT(16)	3091448122587520457	0 12 86 110 170 180 186 224 282 320 326 336 396 420 494 506	1591464126198