Prime p₀= 2688227607723718787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: biodoc
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2688226866109916009	0 2 48 50 60 62 72 74 102 104 132 134 222 224	-741613802778
STPT(10)	2688227030375738207	0 2 30 32 72 74 114 116 144 146	-577347980580
SPT(16)	2688227085881071211	0 2 8 50 72 86 102 110 168 176 192 206 228 270 276 278	-521842647576
SPT(16)	2688227400469659977	0 32 62 132 144 192 206 234 302 330 344 392 404 474 504 536	-207254058810
STPT(10)	2688227405607369737	0 2 42 44 72 74 102 104 144 146	-202116349050
STPT(10)	2688227429168508257	0 2 30 32 60 62 90 92 120 122	-178555210530
STPT(10)	2688227875135471517	0 2 30 32 60 62 90 92 120 122	267411752730
STPT(10)	2688228533805645251	0 2 36 38 78 80 120 122 156 158	926081926464
SPT(16)	2688228687087892847	0 2 26 54 56 62 72 86 90 104 114 120 122 150 174 176	1079364174060
TPT(14)	2688228759705010787	0 2 42 44 72 74 180 182 210 212 234 236 270 272	1151981292000
SPT(16)	2688229143540012469	0 22 52 82 102 148 154 160 222 228 234 280 300 330 360 382	1535816293682