Prime p₀= 2524591716221919599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: fake
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2524590254595561253	0 30 36 66 84 124 126 138 166 178 180 220 238 268 274 304	-1461626358346
STPT(10)	2524590312346637387	0 2 30 32 72 74 114 116 144 146	-1403875282212
STPT(10)	2524590400657494941	0 2 36 38 78 80 120 122 156 158	-1315564424658
SPT(16)	2524590411899623099	0 4 18 22 114 120 160 198 244 282 322 328 420 424 438 442	-1304322296500
SPT(16)	2524591054359382399	0 28 40 42 102 172 178 240 250 312 318 388 448 450 462 490	-661862537200
TPT(14)	2524591306795503707	0 2 84 86 150 152 192 194 210 212 222 224 234 236	-409426415892
SPT(16)	2524591943377855249	0 10 40 54 82 84 100 114 178 192 208 210 238 252 282 292	227155935650
STPT(10)	2524591966029134369	0 2 18 20 30 32 42 44 60 62	249807214770
SPT(16)	2524592051199074953	0 28 40 48 78 88 120 144 154 178 210 220 250 258 270 298	334977155354
STPT(10)	2524592132540118629	0 2 18 20 30 32 42 44 60 62	416318199030
SPT(16)	2524592153486185633	0 34 48 78 88 120 144 148 186 190 214 246 256 286 300 334	437264266034