Prime p₀= 767858991397738577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Daniel
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	767858339721313759	0 18 34 72 78 88 94 120 142 168 174 184 190 228 244 262	-651676424818
STPT(10)	767858623400525441	0 2 36 38 78 80 120 122 156 158	-367997213136
STPT(12)	767858639097975911	0 2 36 38 48 50 78 80 90 92 126 128	-352299762666
TPT(14)	767858639097975911	0 2 36 38 48 50 78 80 90 92 126 128 180 182	-352299762666
STPT(10)	767858874408831389	0 2 18 20 30 32 42 44 60 62	-116988907188
STPT(10)	767858923158700127	0 2 42 44 72 74 102 104 144 146	-68239038450
TPT(14)	767859125380065659	0 2 12 14 78 80 108 110 180 182 222 224 252 254	133982327082
SPT(16)	767859297956561381	0 8 42 62 96 110 126 132 266 272 288 302 336 356 390 398	306558822804
SPT(16)	767859377395100821	0 10 36 90 112 130 136 138 160 162 168 186 208 262 288 298	385997362244
STPT(12)	767859444353815367	0 2 30 32 54 56 210 212 234 236 264 266	452956076790
STPT(10)	767859491421436019	0 2 48 50 90 92 132 134 180 182	500023697442