Prime p₀= 1958526357388998587 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 28 2 124 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 180 182 210 212 234 236
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 236
Found by: Landjunge
db: batch=80, k=12, 2 22 2 28 2 124

SPT(16)	1958525720095629077	0 30 44 60 126 144 156 180 200 224 236 254 320 336 350 380	-637293369510
SPT(16)	1958525819036700577	0 30 42 52 60 66 100 102 124 126 160 166 174 184 196 226	-538352298010
STPT(10)	1958525904064328741	0 2 6 8 18 20 30 32 36 38	-453324669846
SPT(16)	1958525966882386997	0 44 50 72 84 144 200 216 380 396 452 512 524 546 552 596	-390506611590
SPT(16)	1958525971894099879	0 12 22 82 88 108 130 168 214 252 274 294 300 360 370 382	-385494898708
STPT(10)	1958526127315769129	0 2 18 20 30 32 42 44 60 62	-230073229458
SPT(16)	1958526409501113901	0 18 22 30 70 78 102 120 148 166 190 198 238 246 250 268	52112115314
SPT(16)	1958526867258068923	0 18 36 54 58 88 90 118 126 154 156 186 190 208 226 244	509869070336
STPT(10)	1958527227464763251	0 2 6 8 18 20 30 32 36 38	870075764664
TPT(14)	1958527398288196919	0 2 30 32 42 44 72 74 138 140 162 164 252 254	1040899198332
STPT(10)	1958528021528264309	0 2 12 14 30 32 48 50 60 62	1664139265722