Prime p₀= 997776856498415837 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	997776040063882811	0 2 18 86 132 158 180 182 216 218 240 266 312 380 396 398	-816434533026
STPT(12)	997776421658071787	0 2 30 32 54 56 90 92 114 116 144 146	-434840344050
STPT(10)	997776497128138697	0 2 54 56 72 74 90 92 144 146	-359370277140
STPT(10)	997776596569146731	0 2 78 80 138 140 198 200 276 278	-259929269106
TPT(14)	997776743309846657	0 2 54 56 120 122 174 176 234 236 300 302 342 344	-113188569180
STPT(10)	997776846153695759	0 2 48 50 90 92 132 134 180 182	-10344720078
STPT(10)	997776900025947707	0 2 30 32 42 44 54 56 84 86	43527531870
STPT(10)	997776929881535129	0 2 18 20 30 32 42 44 60 62	73383119292
SPT(16)	997776996374625013	0 10 16 24 40 46 54 60 94 100 108 114 130 138 144 154	139876209176
STPT(10)	997777084158690761	0 2 30 32 78 80 126 128 156 158	227660274924
STPT(10)	997777340415949229	0 2 42 44 90 92 138 140 180 182	483917533392