Prime p₀= 796257097494669059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: declis
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	796255751692133881	0 36 52 66 126 142 186 228 280 322 366 382 442 456 472 508	-1345802535178
SPT(16)	796255851657799147	0 24 40 52 76 82 96 142 234 280 294 300 324 336 352 376	-1245836869912
TPT(14)	796256089609915241	0 2 60 62 138 140 150 152 156 158 168 170 306 308	-1007884753818
STPT(10)	796256303629479101	0 2 48 50 168 170 288 290 336 338	-793865189958
SPT(16)	796256866678449577	0 10 24 52 102 144 190 214 252 276 322 364 414 442 456 466	-230816219482
SPT(16)	796257002334709309	0 58 70 120 148 150 172 190 192 210 232 234 262 312 324 382	-95159959750
SPT(16)	796257270140392927	0 34 42 54 72 76 96 100 126 130 150 154 172 184 192 226	172645723868
TPT(14)	796257514108833407	0 2 24 26 42 44 222 224 234 236 372 374 444 446	416614164348
STPT(10)	796257724736206079	0 2 42 44 90 92 138 140 180 182	627241537020
SPT(16)	796257834467783603	0 14 18 54 56 116 158 210 284 336 378 438 440 476 480 494	736973114544
STPT(10)	796257975415176101	0 2 36 38 78 80 120 122 156 158	877920507042