Prime p₀= 728652208087651829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: MarkRBright
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	728650325308552783	0 24 34 76 90 96 118 120 154 156 178 184 198 240 250 274	-1882779099046
SPT(16)	728650555825979363	0 14 36 48 80 110 134 146 198 210 234 264 296 308 330 344	-1652261672466
TPT(14)	728651118987098897	0 2 30 32 72 74 174 176 204 206 210 212 252 254	-1089100552932
STPT(10)	728651189368950611	0 2 30 32 78 80 126 128 156 158	-1018718701218
STPT(10)	728651547408117647	0 2 30 32 72 74 114 116 144 146	-660679534182
SPT(16)	728652007835168083	0 30 186 270 274 310 324 388 456 520 534 570 574 658 814 844	-200252483746
SPT(16)	728652801462156569	0 12 38 50 60 78 92 102 140 150 164 182 192 204 230 242	593374504740
STPT(10)	728653078834929791	0 2 6 8 48 50 90 92 96 98	870747277962
SPT(16)	728653216745258353	0 24 64 70 94 124 138 174 184 220 234 264 288 294 334 358	1008657606524
STPT(10)	728653827465810611	0 2 30 32 78 80 126 128 156 158	1619378158782
SPT(16)	728654005132780543	0 40 48 78 90 126 160 180 244 264 298 334 346 376 384 424	1797045128714