Prime p₀= 1585289609266131719 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: biodoc
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1585288435244362253	0 18 20 48 56 86 108 146 150 188 210 240 248 276 278 296	-1174021769466
STPT(10)	1585288525042211621	0 2 30 32 78 80 126 128 156 158	-1084223920098
SPT(16)	1585288532053033921	0 12 18 58 60 72 88 102 106 120 136 148 150 190 196 208	-1077213097798
STPT(10)	1585288549575620777	0 2 24 26 42 44 60 62 84 86	-1059690510942
STPT(10)	1585289342977257899	0 2 18 20 60 62 102 104 120 122	-266288873820
TPT(14)	1585289547334942607	0 2 42 44 90 92 174 176 270 272 294 296 312 314	-61931189112
SPT(16)	1585290027188080223	0 50 84 90 114 156 194 264 290 360 398 440 464 470 504 554	417921948504
STPT(10)	1585290222744537479	0 2 18 20 30 32 42 44 60 62	613478405760
SPT(16)	1585290234825502451	0 50 68 78 80 96 98 110 126 138 140 156 158 168 186 236	625559370732
STPT(10)	1585290311455250579	0 2 48 50 90 92 132 134 180 182	702189118860
STPT(10)	1585290874265244857	0 2 12 14 42 44 72 74 84 86	1264999113138