Prime p₀= 2813742038396357597 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2813741022130838911	0 42 72 82 88 90 156 202 306 352 418 420 426 436 466 508	-1016265518686
STPT(10)	2813741135043311657	0 2 30 32 60 62 90 92 120 122	-903353045940
SPT(16)	2813741317049497553	0 20 26 110 134 164 174 176 234 236 246 276 300 384 390 410	-721346860044
SPT(16)	2813741321005597819	0 30 82 90 148 162 172 202 210 240 250 264 322 330 382 412	-717390759778
SPT(16)	2813741344368241411	0 42 48 76 82 106 108 160 168 220 222 246 252 280 286 328	-694028116186
SPT(16)	2813741613094834141	0 10 16 42 66 102 130 142 180 192 220 256 280 306 312 322	-425301523456
TPT(14)	2813742944556468779	0 2 30 32 180 182 192 194 240 242 288 290 330 332	906160111182
TPT(14)	2813743112433600731	0 2 96 98 138 140 150 152 156 158 168 170 228 230	1074037243134
STPT(10)	2813743258165688657	0 2 30 32 42 44 54 56 84 86	1219769331060
STPT(10)	2813743531836616241	0 2 36 38 78 80 120 122 156 158	1493440258644
SPT(16)	2813743658982471877	0 70 72 102 106 114 126 132 154 160 172 180 184 214 216 286	1620586114280