Prime p₀= 1458661154342889191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1458659426995946803	0 6 36 66 96 130 138 180 244 286 294 328 358 388 418 424	-1727346942388
TPT(14)	1458659759011560881	0 2 18 20 66 68 96 98 150 152 156 158 180 182	-1395331328310
SPT(16)	1458659864702847581	0 8 36 62 78 146 152 158 210 216 222 290 306 332 360 368	-1289640041610
TPT(14)	1458659928272037947	0 2 24 26 54 56 84 86 150 152 162 164 222 224	-1226070851244
STPT(10)	1458660152274440411	0 2 6 8 18 20 30 32 36 38	-1002068448780
SPT(16)	1458660784255595201	0 30 50 66 78 108 120 140 186 206 218 248 260 276 296 326	-370087293990
SPT(16)	1458661243938956711	0 26 36 56 62 80 132 140 162 170 222 240 246 266 276 302	89596067520
STPT(10)	1458661459977223259	0 2 18 20 30 32 42 44 60 62	305634334068
TPT(14)	1458661509716796521	0 2 66 68 90 92 138 140 180 182 288 290 300 302	355373907330
SPT(16)	1458661918196701291	0 52 66 106 108 132 160 162 166 168 196 220 222 262 276 328	763853812100
STPT(10)	1458662064050562641	0 2 6 8 48 50 90 92 96 98	909707673450