Prime p₀= 726809520928282619 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: Theadalus
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	726807863299581857	0 54 110 120 132 162 164 224 330 390 392 422 434 444 500 554	-1657628700762
SPT(16)	726808107655232233	0 4 16 64 130 148 198 204 220 226 276 294 360 408 420 424	-1413273050386
SPT(16)	726808478880555839	0 14 42 120 152 158 174 180 182 188 204 210 242 320 348 362	-1042047726780
TPT(14)	726809109817556747	0 2 42 44 102 104 114 116 132 134 210 212 252 254	-411110725872
SPT(16)	726809253123929693	0 14 50 68 104 116 128 156 158 186 198 210 246 264 300 314	-267804352926
SPT(16)	726809322865998859	0 12 18 64 82 102 138 190 222 274 310 330 348 394 400 412	-198062283760
STPT(10)	726809663830969877	0 2 54 56 72 74 90 92 144 146	142902687258
STPT(10)	726810305598122519	0 2 12 14 90 92 168 170 180 182	784669839900
STPT(10)	726810306805611527	0 2 90 92 102 104 114 116 204 206	785877328908
SPT(16)	726810307393237343	0 8 50 66 78 80 126 138 176 188 234 236 248 264 306 314	786464954724
STPT(10)	726810405740442209	0 2 18 20 30 32 42 44 60 62	884812159590