Prime p₀= 1585237321054607147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: crashtech
db: batch=78, k=10, 2 10 2 58 2

STPT(10)	1585236114172860041	0 2 6 8 48 50 90 92 96 98	-1206881747106
SPT(16)	1585236123646939193	0 6 30 50 86 96 108 156 188 236 248 258 294 314 338 344	-1197407667954
SPT(16)	1585236338645640001	0 10 52 60 76 100 102 126 142 166 168 192 208 216 258 268	-982408967146
STPT(10)	1585236712663813379	0 2 18 20 30 32 42 44 60 62	-608390793768
STPT(10)	1585237011154712087	0 2 12 14 42 44 72 74 84 86	-309899895060
STPT(10)	1585237214257397927	0 2 30 32 72 74 114 116 144 146	-106797209220
SPT(16)	1585237840068628037	0 14 32 62 92 122 140 152 174 186 204 234 264 294 312 326	519014020890
STPT(10)	1585237919987216819	0 2 18 20 30 32 42 44 60 62	598932609672
TPT(14)	1585237926666809669	0 2 18 20 78 80 132 134 198 200 258 260 282 284	605612202522
SPT(16)	1585238619692113733	0 6 14 36 48 50 54 78 116 140 144 146 158 180 188 194	1298637506586
SPT(16)	1585238735708088287	0 14 54 80 84 114 140 182 192 234 260 290 294 320 360 374	1414653481140