Prime p₀= 865683740518042907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Frank [NT]
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	865682948945459077	0 4 16 34 52 60 66 96 130 160 166 174 192 210 222 226	-791572583830
STPT(10)	865683206621090129	0 2 18 20 30 32 42 44 60 62	-533896952778
SPT(16)	865683207772107061	0 28 100 130 166 168 198 208 210 220 250 252 288 318 390 418	-532745935846
SPT(16)	865683325902384127	0 34 36 90 112 144 190 196 210 216 262 294 316 370 372 406	-414615658780
SPT(16)	865683454477035361	0 12 16 30 60 66 100 102 136 138 172 178 208 222 226 238	-286041007546
SPT(16)	865683546633378983	0 14 38 44 96 98 198 200 234 236 336 338 390 396 420 434	-193884663924
STPT(10)	865683774740053679	0 2 48 50 90 92 132 134 180 182	34222010772
SPT(16)	865684016075955539	0 24 50 78 92 114 128 140 192 204 218 240 254 282 308 332	275557912632
STPT(10)	865684241747565137	0 2 42 44 72 74 102 104 144 146	501229522230
SPT(16)	865684256103073951	0 12 22 70 112 126 150 162 166 178 202 216 258 306 316 328	515585031044
SPT(16)	865684521532333171	0 18 30 82 102 120 126 130 138 142 148 166 186 238 250 268	781014290264