Prime p₀= 2342667961306919591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2342667175230923117	0 14 24 44 66 80 114 140 150 176 210 224 246 266 276 290	-786075996474
SPT(16)	2342667293840163931	0 42 60 70 90 106 130 142 186 198 222 238 258 268 286 328	-667466755660
SPT(16)	2342667398310752077	0 4 10 22 34 54 70 82 132 144 160 180 192 204 210 214	-562996167514
STPT(10)	2342667571295020181	0 2 36 38 78 80 120 122 156 158	-390011899410
STPT(10)	2342667596037416111	0 2 36 38 78 80 120 122 156 158	-365269503480
SPT(16)	2342667842435833867	0 16 22 96 100 120 142 154 162 174 196 216 220 294 300 316	-118871085724
STPT(10)	2342668512569531747	0 2 30 32 42 44 54 56 84 86	551262612156
STPT(10)	2342669226421828301	0 2 6 8 48 50 90 92 96 98	1265114908710
SPT(16)	2342669872202197963	0 10 28 60 166 174 208 220 294 306 340 348 454 486 504 514	1910895278372
STPT(10)	2342670353616322187	0 2 54 56 132 134 210 212 264 266	2392309402596
STPT(10)	2342670365791903877	0 2 30 32 72 74 114 116 144 146	2404484984286