Prime p₀= 746625068274690299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: arkiss
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	746624166074153057	0 12 54 80 92 110 140 174 182 216 246 264 276 302 344 356	-902200537242
TPT(14)	746624334524115317	0 2 54 56 114 116 174 176 282 284 342 344 384 386	-733750574982
STPT(10)	746624777846233409	0 2 12 14 30 32 48 50 60 62	-290428456890
SPT(16)	746624912926407901	0 12 60 78 96 102 148 178 180 210 256 262 280 298 346 358	-155348282398
TPT(14)	746624914066530347	0 2 30 32 90 92 102 104 114 116 132 134 144 146	-154208159952
STPT(10)	746624977484721857	0 2 30 32 42 44 54 56 84 86	-90789968442
SPT(16)	746625133280051111	0 30 32 56 62 72 86 92 210 216 230 240 246 270 272 302	65005360812
STPT(10)	746625394712037821	0 2 36 38 78 80 120 122 156 158	326437347522
SPT(16)	746626421207915587	0 16 36 42 52 66 100 106 120 126 160 174 184 190 210 226	1352933225288
STPT(10)	746626489122977297	0 2 42 44 102 104 162 164 204 206	1420848286998
SPT(16)	746626492394682167	0 20 42 60 72 104 224 240 386 402 522 554 566 584 606 626	1424119991868