Prime p₀= 816400886232127697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: [SG]FX
db: batch=73, k=10, 2 52 2 16 2

STPT(10)	816399354034387307	0 2 30 32 60 62 90 92 120 122	-1532197740390
TPT(14)	816399492163396199	0 2 48 50 90 92 132 134 240 242 288 290 372 374	-1394068731498
SPT(16)	816400063051482677	0 6 50 84 132 144 152 204 242 294 302 314 362 396 440 446	-823180645020
SPT(16)	816400272357075127	0 22 52 60 102 120 156 186 196 226 262 280 322 330 360 382	-613875052570
STPT(10)	816400284032883371	0 2 6 8 48 50 90 92 96 98	-602199244326
SPT(16)	816400295791260113	0 6 14 96 150 194 234 264 266 296 336 380 434 516 524 530	-590440867584
SPT(16)	816400915046373317	0 14 50 66 72 84 90 206 300 416 422 434 440 456 492 506	28814245620
STPT(10)	816400953010329719	0 2 48 50 90 92 132 134 180 182	66778202022
STPT(10)	816401006831750687	0 2 12 14 42 44 72 74 84 86	120599622990
SPT(16)	816401089752984049	0 28 34 88 90 112 118 124 138 144 150 172 174 228 234 262	203520856352
STPT(10)	816401479209477617	0 2 30 32 42 44 54 56 84 86	592977349920