Prime p₀= 854177565893562731 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)	854176201176670613	0 26 66 80 98 126 146 156 440 450 470 498 516 530 570 596	-1364716892118
STPT(10)	854176550267220239	0 2 12 14 90 92 168 170 180 182	-1015626342492
STPT(10)	854176601851954289	0 2 18 20 30 32 42 44 60 62	-964041608442
STPT(10)	854176816238668589	0 2 18 20 30 32 42 44 60 62	-749654894142
SPT(16)	854177353594029947	0 60 74 102 104 132 144 150 164 170 182 210 212 240 254 314	-212299532784
STPT(10)	854177545510334831	0 2 30 32 60 62 90 92 120 122	-20383227900
SPT(16)	854177580914142607	0 30 52 84 90 106 114 136 180 202 210 226 232 264 286 316	15020579876
SPT(16)	854177856120805561	0 42 48 112 210 220 268 288 310 330 378 388 486 550 556 598	290227242830
SPT(16)	854177908991846339	0 14 18 60 80 92 104 108 134 138 150 162 182 224 228 242	343098283608
SPT(16)	854177941656631951	0 36 52 78 100 112 150 192 196 238 276 288 310 336 352 388	375763069220
STPT(10)	854178013081479179	0 2 42 44 60 62 78 80 120 122	447187916448