Prime p₀= 1458661459977223259 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: Theadalus
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1458659864702847581	0 8 36 62 78 146 152 158 210 216 222 290 306 332 360 368	-1595274375678
TPT(14)	1458659928272037947	0 2 24 26 54 56 84 86 150 152 162 164 222 224	-1531705185312
STPT(10)	1458660152274440411	0 2 6 8 18 20 30 32 36 38	-1307702782848
SPT(16)	1458660784255595201	0 30 50 66 78 108 120 140 186 206 218 248 260 276 296 326	-675721628058
STPT(10)	1458661154342889191	0 2 36 38 78 80 120 122 156 158	-305634334068
SPT(16)	1458661243938956711	0 26 36 56 62 80 132 140 162 170 222 240 246 266 276 302	-216038266548
TPT(14)	1458661509716796521	0 2 66 68 90 92 138 140 180 182 288 290 300 302	49739573262
SPT(16)	1458661918196701291	0 52 66 106 108 132 160 162 166 168 196 220 222 262 276 328	458219478032
STPT(10)	1458662064050562641	0 2 6 8 48 50 90 92 96 98	604073339382
STPT(10)	1458662096362069601	0 2 30 32 60 62 90 92 120 122	636384846342
STPT(10)	1458662161067730737	0 2 24 26 42 44 60 62 84 86	701090507478