Prime p₀= 816350991283929767 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: [SG]FX
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	816349181015617069	0 34 88 90 94 100 112 130 132 150 162 168 172 174 228 262	-1810268312698
SPT(16)	816349240608369001	0 10 28 36 48 52 66 108 130 172 186 190 202 210 228 238	-1750675560766
TPT(14)	816349537430613941	0 2 30 32 96 98 126 128 150 152 186 188 228 230	-1453853315826
TPT(14)	816350193279193709	0 2 12 14 78 80 120 122 132 134 138 140 168 170	-798004736058
SPT(16)	816350586373908931	0 22 28 46 78 88 90 190 198 298 300 310 342 360 366 388	-404910020836
SPT(16)	816350673201432179	0 30 32 38 42 68 72 74 108 110 114 140 144 150 152 182	-318082497588
SPT(16)	816351312185787431	0 18 36 42 56 60 98 126 212 240 278 282 296 302 320 338	320901857664
SPT(16)	816351651948725797	0 6 36 76 90 132 136 160 186 210 214 256 270 310 340 346	660664796030
SPT(16)	816352101326575537	0 22 52 66 84 100 114 154 192 232 246 262 280 294 324 346	1110042645770
SPT(16)	816352109154929609	0 8 38 78 98 122 138 140 150 152 168 192 212 252 282 290	1117870999842
TPT(14)	816352147475181257	0 2 24 26 174 176 180 182 204 206 210 212 222 224	1156191251490