Prime p₀= 820065149324253587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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]FX
db: batch=73, k=10, 2 58 2 10 2

SPT(16)	820064451430157797	0 42 84 90 120 132 142 154 162 174 184 196 226 232 274 316	-697894095790
SPT(16)	820064534083209823	0 28 30 78 118 144 154 174 184 204 214 240 280 328 330 358	-615241043764
SPT(16)	820064558082443857	0 36 46 100 124 186 196 204 256 264 274 336 360 414 424 460	-591241809730
SPT(16)	820064597125544879	0 20 84 108 188 192 210 234 278 302 320 324 404 428 492 512	-552198708708
SPT(16)	820064601958178471	0 12 20 30 108 138 140 152 168 180 182 212 290 300 308 320	-547366075116
SPT(16)	820064667239061941	0 32 36 50 90 146 180 182 306 308 342 398 438 452 456 488	-482085191646
STPT(10)	820065311989562057	0 2 42 44 72 74 102 104 144 146	162665308470
SPT(16)	820065353233468841	0 2 42 72 78 102 108 116 132 140 146 170 176 206 246 248	203909215254
STPT(10)	820065638177687519	0 2 48 50 60 62 72 74 120 122	488853433932
SPT(16)	820065644599979147	0 12 30 44 66 84 122 126 170 174 212 230 252 266 284 296	495275725560
SPT(16)	820065672638316077	0 30 42 56 122 152 182 206 210 234 264 294 360 374 386 416	523314062490