Prime p₀= 2688227405607369737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: biodoc
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2688226401675712741	0 16 22 42 46 72 76 82 120 126 130 156 160 180 186 202	-1003931656996
STPT(10)	2688226721452269461	0 2 36 38 78 80 120 122 156 158	-684155100276
TPT(14)	2688226866109916009	0 2 48 50 60 62 72 74 102 104 132 134 222 224	-539497453728
STPT(10)	2688227030375738207	0 2 30 32 72 74 114 116 144 146	-375231631530
SPT(16)	2688227085881071211	0 2 8 50 72 86 102 110 168 176 192 206 228 270 276 278	-319726298526
SPT(16)	2688227400469659977	0 32 62 132 144 192 206 234 302 330 344 392 404 474 504 536	-5137709760
STPT(10)	2688227429168508257	0 2 30 32 60 62 90 92 120 122	23561138520
STPT(10)	2688227607723718787	0 2 24 26 42 44 60 62 84 86	202116349050
STPT(10)	2688227875135471517	0 2 30 32 60 62 90 92 120 122	469528101780
STPT(10)	2688228533805645251	0 2 36 38 78 80 120 122 156 158	1128198275514
SPT(16)	2688228687087892847	0 2 26 54 56 62 72 86 90 104 114 120 122 150 174 176	1281480523110