Prime p₀= 796396350893783609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: declis
db: batch=73, k=10, 2 10 2 76 2

SPT(16)	796395222572336561	0 12 20 72 98 132 140 158 210 228 236 270 296 348 356 368	-1128321447048
SPT(16)	796395236036690041	0 10 42 52 78 96 136 162 166 192 232 250 276 286 318 328	-1114857093568
TPT(14)	796395707950716359	0 2 12 14 48 50 90 92 168 170 192 194 222 224	-642943067250
SPT(16)	796395897033424967	0 2 30 32 44 56 96 110 186 200 240 252 264 266 294 296	-453860358642
SPT(16)	796396115947791461	0 50 62 68 78 90 92 152 156 216 218 230 240 246 258 308	-234945992148
TPT(14)	796396200067539077	0 2 24 26 30 32 114 116 240 242 294 296 444 446	-150826244532
TPT(14)	796396352026918337	0 2 60 62 102 104 114 116 204 206 210 212 294 296	1133134728
STPT(10)	796396563520013369	0 2 12 14 90 92 168 170 180 182	212626229760
SPT(16)	796397027119509239	0 12 30 32 50 84 92 114 158 180 188 222 240 242 260 272	676225725630
STPT(10)	796397057415310157	0 2 72 74 102 104 132 134 204 206	706521526548
SPT(16)	796397734615197469	0 18 28 34 40 82 118 130 252 264 300 342 348 354 364 382	1383721413860