Prime p₀= 2959728428139636467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2959728000591344777	0 32 56 86 104 116 132 146 210 224 240 252 270 300 324 356	-427548291690
SPT(16)	2959728072483458291	0 12 32 42 60 96 108 126 182 200 212 248 266 276 296 308	-355656178176
STPT(10)	2959728118406548631	0 2 6 8 18 20 30 32 36 38	-309733087836
SPT(16)	2959728228435832753	0 30 48 100 106 148 154 174 190 210 216 258 264 316 334 364	-199703803714
STPT(10)	2959728321576141131	0 2 30 32 78 80 126 128 156 158	-106563495336
SPT(16)	2959728367124132497	0 10 46 60 64 76 90 102 154 166 180 192 196 210 246 256	-61015503970
STPT(10)	2959728490951884647	0 2 30 32 72 74 114 116 144 146	62812248180
SPT(16)	2959728737879227709	0 24 38 44 54 68 90 98 204 212 234 248 258 264 278 302	309739591242
STPT(10)	2959728771557491667	0 2 30 32 42 44 54 56 84 86	343417855200
SPT(16)	2959729307502191867	0 24 44 56 80 104 126 144 152 170 192 216 240 252 272 296	879362555400
SPT(16)	2959730004062298287	0 14 84 132 144 146 156 170 216 230 240 242 254 302 372 386	1575922661820