Prime p₀= 231707181777638261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: gaballus
db: batch=69, k=10, 2 34 2 40 2

TPT(12)	231707073663405671	0 2 48 50 78 80 90 92 126 128 216 218	-108114232590
SPT(14)	231707091037726621	0 6 16 28 30 36 58 78 100 106 108 120 130 136	-90739911640
SPT(14)	231707094012998209	0 12 22 30 34 72 84 118 130 168 172 180 190 202	-87764640052
SPT(14)	231707094383552153	0 14 18 80 108 114 134 234 254 260 288 350 354 368	-87394086108
TPT(12)	231707161365748949	0 2 72 74 108 110 138 140 180 182 192 194	-20411889312
SPT(14)	231707181663734687	0 60 102 122 144 192 264 290 362 410 432 452 494 554	-113903574
SPT(16)	231707185930855421	0 2 30 72 96 98 128 138 140 150 180 182 206 248 276 278	4153217160
SPT(14)	231707209970909149	0 10 12 28 42 60 78 112 130 148 162 178 180 190	28193270888
SPT(14)	231707223797296957	0 10 12 72 94 114 124 150 160 180 202 262 264 274	42019658696
SPT(14)	231707233752794221	0 28 42 52 60 90 100 120 130 160 168 178 192 220	51975155960
SPT(14)	231707245820400991	0 28 40 60 120 156 160 168 172 208 268 288 300 328	64042762730