Prime p₀= 2522131051243233107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2522129974216864967	0 2 20 92 116 132 170 180 302 312 350 366 390 462 480 482	-1077026368140
TPT(14)	2522130382584355799	0 2 12 14 42 44 90 92 222 224 240 242 252 254	-668658877308
SPT(16)	2522130591468606011	0 168 242 246 258 288 300 312 386 398 410 440 452 456 530 698	-459774627096
TPT(14)	2522130751920943349	0 2 18 20 90 92 168 170 180 182 270 272 312 314	-299322289758
STPT(10)	2522130957781978091	0 2 6 8 48 50 90 92 96 98	-93461255016
TPT(14)	2522131020430292501	0 2 66 68 168 170 228 230 240 242 270 272 306 308	-30812940606
STPT(10)	2522131175623222349	0 2 42 44 90 92 138 140 180 182	124379989242
SPT(16)	2522131269926070349	0 4 10 70 84 100 114 144 148 178 192 208 222 282 288 292	218682837242
SPT(16)	2522131547427317951	0 66 68 72 80 86 140 152 156 168 222 228 236 240 242 308	496184084844
SPT(16)	2522131880766556819	0 40 78 94 112 132 138 190 192 244 250 270 288 304 342 382	829523323712
STPT(10)	2522132466548065757	0 2 12 14 42 44 72 74 84 86	1415304832650