Prime p₀= 854178459727157231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	854177856120805561	0 42 48 112 210 220 268 288 310 330 378 388 486 550 556 598	-603606351670
SPT(16)	854177908991846339	0 14 18 60 80 92 104 108 134 138 150 162 182 224 228 242	-550735310892
SPT(16)	854177941656631951	0 36 52 78 100 112 150 192 196 238 276 288 310 336 352 388	-518070525280
STPT(10)	854178013081479179	0 2 42 44 60 62 78 80 120 122	-446645678052
SPT(16)	854178268876701871	0 36 46 90 102 138 142 148 180 186 190 226 238 282 292 328	-190850455360
SPT(16)	854178306328918069	0 10 22 72 90 94 154 168 184 198 258 262 280 330 342 352	-153398239162
STPT(10)	854178588050321267	0 2 30 32 42 44 54 56 84 86	128323164036
STPT(10)	854178624083036849	0 2 18 20 60 62 102 104 120 122	164355879618
STPT(10)	854179266266277629	0 2 18 20 30 32 42 44 60 62	806539120398
STPT(10)	854179529722560887	0 2 24 26 42 44 60 62 84 86	1069995403656
TPT(14)	854179595463657389	0 2 12 14 78 80 90 92 132 134 210 212 222 224	1135736500158