Prime p₀= 2402056271246883257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2402054606174811587	0 6 26 32 60 90 116 126 296 306 332 362 390 396 416 422	-1665072071670
SPT(16)	2402054828870359241	0 126 138 140 152 168 176 182 186 192 200 216 228 230 242 368	-1442376524016
STPT(10)	2402054989403855081	0 2 6 8 18 20 30 32 36 38	-1281843028176
TPT(14)	2402055535488096977	0 2 24 26 102 104 150 152 210 212 222 224 234 236	-735758786280
SPT(16)	2402055879248456237	0 2 14 20 42 66 72 102 104 134 140 164 186 192 204 206	-391998427020
STPT(10)	2402056053123260591	0 2 36 38 78 80 120 122 156 158	-218123622666
STPT(10)	2402056312558201877	0 2 30 32 42 44 54 56 84 86	41311318620
SPT(16)	2402056676461512901	0 6 12 42 48 96 108 132 166 190 202 250 256 286 292 298	405214629644
SPT(16)	2402057104306040897	0 24 44 50 56 62 72 92 114 134 144 150 156 162 182 206	833059157640
STPT(10)	2402058185843049917	0 2 30 32 42 44 54 56 84 86	1914596166660
STPT(10)	2402058413906920577	0 2 30 32 42 44 54 56 84 86	2142660037320