Prime p₀= 796397057415310157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: declis
db: batch=73, k=10, 2 70 2 28 2

SPT(16)	796396115947791461	0 50 62 68 78 90 92 152 156 216 218 230 240 246 258 308	-941467518696
TPT(14)	796396200067539077	0 2 24 26 30 32 114 116 240 242 294 296 444 446	-857347771080
STPT(10)	796396350893783609	0 2 12 14 90 92 168 170 180 182	-706521526548
TPT(14)	796396352026918337	0 2 60 62 102 104 114 116 204 206 210 212 294 296	-705388391820
STPT(10)	796396563520013369	0 2 12 14 90 92 168 170 180 182	-493895296788
SPT(16)	796397027119509239	0 12 30 32 50 84 92 114 158 180 188 222 240 242 260 272	-30295800918
SPT(16)	796397734615197469	0 18 28 34 40 82 118 130 252 264 300 342 348 354 364 382	677199887312
STPT(10)	796397779646736479	0 2 18 20 60 62 102 104 120 122	722231426322
SPT(16)	796398007833736613	0 50 54 104 110 134 180 236 324 380 426 450 456 506 510 560	950418426456
SPT(16)	796398097676404087	0 12 34 40 46 72 90 96 160 166 184 210 216 222 244 256	1040261093930
SPT(16)	796398287159593501	0 6 108 138 172 258 262 286 432 456 460 546 580 610 712 718	1229744283344