Prime p₀= 2166358403452903571 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: JayPi
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2166357571712662673	0 8 20 56 98 134 170 210 254 294 330 366 408 444 456 464	-831740240898
STPT(10)	2166357862962559991	0 2 6 8 48 50 90 92 96 98	-540490343580
SPT(16)	2166358002550806959	0 20 30 38 48 60 72 98 114 140 152 164 174 182 192 212	-400902096612
SPT(16)	2166358104747202361	0 6 32 72 90 98 108 120 128 140 150 158 176 216 242 248	-298705701210
STPT(10)	2166358222775119577	0 2 12 14 42 44 72 74 84 86	-180677783994
STPT(10)	2166358294765139477	0 2 30 32 60 62 90 92 120 122	-108687764094
SPT(16)	2166358953438873989	0 8 60 78 80 98 104 108 200 204 210 228 230 248 300 308	549985970418
SPT(16)	2166359057174489627	0 2 30 92 104 114 150 170 204 224 260 270 282 344 372 374	653721586056
STPT(10)	2166359161482312491	0 2 30 32 78 80 126 128 156 158	758029408920
STPT(10)	2166359315080455161	0 2 6 8 18 20 30 32 36 38	911627551590
SPT(16)	2166359322484402373	0 6 66 74 86 108 110 116 138 144 146 168 180 188 248 254	919031498802