Prime p₀= 1025951748467218631 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: HenkM
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1025950911414191927	0 2 6 20 26 36 42 120 146 224 230 240 246 260 264 266	-837053026704
TPT(14)	1025950930655141789	0 2 18 20 60 62 72 74 138 140 210 212 240 242	-817812076842
STPT(10)	1025951255738551949	0 2 78 80 120 122 162 164 240 242	-492728666682
SPT(16)	1025951318428998197	0 20 26 32 66 104 150 162 164 176 222 260 294 300 306 326	-430038220434
SPT(16)	1025951526343389941	0 8 26 36 66 116 122 192 296 366 372 422 452 462 480 488	-222123828690
SPT(16)	1025951710306360741	0 10 30 72 78 180 198 210 220 232 250 352 358 400 420 430	-38160857890
SPT(20)	1025951979573741959	0 14 48 60 68 74 78 84 90 128 144 182 188 194 198 204 212 224 258 272	231106523328
SPT(16)	1025952029968375579	0 12 24 70 82 112 124 154 168 198 210 240 252 298 310 322	281501156948
STPT(10)	1025952033976476317	0 2 12 14 42 44 72 74 84 86	285509257686
STPT(10)	1025952131745211199	0 2 12 14 90 92 168 170 180 182	383277992568
SPT(16)	1025952527219731619	0 8 48 62 74 84 132 162 200 230 278 288 300 314 354 362	778752512988