Prime p₀= 1012067492141137097 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: vinn@[CNT]
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1012066390930460633	0 14 36 60 74 108 140 164 180 204 236 270 284 308 330 344	-1101210676464
STPT(10)	1012066393869992777	0 2 30 32 42 44 54 56 84 86	-1098271144320
SPT(16)	1012066675216635317	0 24 54 66 86 96 110 114 152 156 170 180 200 212 242 266	-816924501780
TPT(14)	1012066962870527651	0 2 36 38 48 50 90 92 96 98 126 128 138 140	-529270609446
SPT(16)	1012067129152503779	0 32 42 62 68 144 150 164 168 182 188 264 270 290 300 332	-362988633318
SPT(16)	1012067316342757841	0 8 102 110 132 158 162 168 320 326 330 356 378 386 480 488	-175798379256
SPT(16)	1012067507189912149	0 4 34 40 84 138 142 148 264 270 274 328 372 378 408 412	15048775052
STPT(10)	1012067518391162669	0 2 42 44 60 62 78 80 120 122	26250025572
SPT(16)	1012068501132046363	0 18 40 48 54 64 78 118 180 220 234 244 250 258 280 298	1008990909266
STPT(10)	1012068526864538177	0 2 60 62 72 74 84 86 144 146	1034723401080
SPT(16)	1012069026700421297	0 2 6 14 54 56 66 80 156 170 180 182 222 230 234 236	1534559284200