Prime p₀= 2303043051926246867 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: Ben
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2303040770750173739	0 32 42 68 98 102 108 110 150 152 158 162 192 218 228 260	-2281176073128
SPT(16)	2303040816312363709	0 28 64 102 108 114 130 142 150 162 178 184 190 228 264 292	-2235613883158
STPT(10)	2303041117790331011	0 2 30 32 60 62 90 92 120 122	-1934135915856
SPT(16)	2303041498127854763	0 54 80 90 96 164 168 186 188 206 210 278 284 294 320 374	-1553798392104
SPT(16)	2303041561720363493	0 54 60 78 86 96 110 128 276 294 308 318 326 344 350 404	-1490205883374
SPT(16)	2303042076461447663	0 44 66 86 96 104 110 116 138 144 150 158 168 188 210 254	-975464799204
STPT(10)	2303043679118128907	0 2 72 74 102 104 132 134 204 206	627191882040
STPT(10)	2303043946694385359	0 2 48 50 90 92 132 134 180 182	894768138492
SPT(16)	2303044396522147247	0 6 14 32 50 60 92 116 120 144 176 186 204 222 230 236	1344595900380
SPT(16)	2303044431657675067	0 24 40 42 76 90 96 154 192 250 256 270 304 306 322 346	1379731428200
STPT(10)	2303044959902698337	0 2 30 32 42 44 54 56 84 86	1907976451470