Prime p₀= 2428443129824583239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2428442163189203297	0 36 80 164 204 206 210 240 266 296 300 302 342 426 470 506	-966635379942
TPT(14)	2428442331414291809	0 2 138 140 168 170 180 182 198 200 210 212 240 242	-798410291430
STPT(12)	2428442331414291947	0 2 30 32 42 44 60 62 72 74 102 104	-798410291292
STPT(12)	2428442353947689279	0 2 12 14 30 32 72 74 90 92 102 104	-775876893960
SPT(16)	2428442435261882323	0 6 78 96 138 148 166 174 190 198 216 226 268 286 358 364	-694562700916
SPT(16)	2428442933681593139	0 12 90 108 114 120 138 150 152 164 182 188 194 212 290 302	-196142990100
SPT(16)	2428443431784166997	0 14 36 50 54 74 90 96 140 146 162 182 186 200 222 236	301959583758
SPT(16)	2428443903107192947	0 16 22 36 82 96 124 142 144 162 190 204 250 264 270 286	773282609708
STPT(10)	2428443939645223499	0 2 18 20 30 32 42 44 60 62	809820640260
STPT(10)	2428444082110451567	0 2 30 32 42 44 54 56 84 86	952285868328
STPT(10)	2428444267350765491	0 2 36 38 78 80 120 122 156 158	1137526182252