Prime p₀= 3035599231352674487 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	3035597146612235131	0 10 78 90 120 138 160 192 208 240 262 280 310 322 390 400	-2084740439356
STPT(10)	3035597376357583067	0 2 30 32 60 62 90 92 120 122	-1854995091420
STPT(10)	3035597865202522481	0 2 120 122 138 140 156 158 276 278	-1366150152006
TPT(14)	3035597900888619329	0 2 18 20 72 74 102 104 132 134 168 170 228 230	-1330464055158
TPT(14)	3035598094559274017	0 2 12 14 42 44 72 74 90 92 114 116 180 182	-1136793400470
STPT(10)	3035598168804068837	0 2 12 14 72 74 132 134 144 146	-1062548605650
SPT(16)	3035600173751420741	0 6 8 32 48 86 90 92 96 98 102 140 156 180 182 188	942398746254
SPT(16)	3035600601934473071	0 2 38 48 78 80 90 102 146 158 168 170 200 210 246 248	1370581798584
STPT(10)	3035600909958539387	0 2 90 92 132 134 174 176 264 266	1678605864900
SPT(16)	3035601448817423483	0 8 54 60 78 98 114 116 138 140 156 176 194 200 246 254	2217464748996
STPT(10)	3035601699236142719	0 2 48 50 90 92 132 134 180 182	2467883468232