Prime p₀= 796280180142356867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Phoenix48
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	796278841738987637	0 2 30 32 60 62 90 92 120 122	-1338403369230
SPT(16)	796278860667105877	0 12 22 24 40 90 112 120 136 144 166 216 232 234 244 256	-1319475250990
SPT(16)	796278883225219343	0 14 20 36 54 66 80 96 104 120 134 146 164 180 186 200	-1296917137524
SPT(13)	796278904469783347	0 6 60 72 96 126 156 186 216 240 252 306 312	-1275672573520
STPT(10)	796279657362748589	0 2 30 32 60 62 90 92 120 122	-522779608278
STPT(10)	796279943111137781	0 2 6 8 18 20 30 32 36 38	-237031219086
STPT(10)	796280736631478279	0 2 18 20 30 32 42 44 60 62	556489121412
SPT(16)	796280799595246393	0 10 16 46 64 88 94 106 108 120 126 150 168 198 204 214	619452889526
SPT(13)	796280835088072031	0 12 48 78 90 132 150 168 210 222 252 288 300	654945715164
SPT(16)	796280855605756229	0 80 102 108 114 122 140 164 168 192 210 218 224 230 252 332	675463399362
SPT(16)	796280917654144547	0 32 50 72 114 176 192 206 210 224 240 302 344 366 384 416	737511787680