Prime p₀= 1585468828528325729 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: crashtech
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1585468222216452389	0 2 12 14 30 32 48 50 60 62	-606311873340
STPT(10)	1585468240234466129	0 2 12 14 90 92 168 170 180 182	-588293859600
SPT(16)	1585468265313340181	0 36 42 68 78 92 96 98 180 182 186 200 210 236 242 278	-563214985548
SPT(16)	1585468283612068907	0 6 20 30 44 50 56 84 122 150 156 162 176 186 200 206	-544916256822
STPT(10)	1585468656340063679	0 2 30 32 60 62 90 92 120 122	-172188262050
SPT(16)	1585468767141558797	0 12 32 44 72 122 164 170 264 270 312 362 390 402 422 434	-61386766932
SPT(16)	1585469383654331011	0 12 18 70 102 106 148 160 168 180 222 226 258 310 316 328	555126005282
SPT(16)	1585469808452675477	0 26 30 36 54 96 120 126 134 140 164 206 224 230 234 260	979924349748
SPT(16)	1585470158998615699	0 10 40 42 78 102 108 112 120 124 130 154 190 192 222 232	1330470289970
STPT(10)	1585470415958107499	0 2 18 20 30 32 42 44 60 62	1587429781770
SPT(16)	1585470716381033747	0 24 42 72 110 114 180 222 224 266 332 336 374 404 422 446	1887852708018