Prime p₀= 2027434212575334839 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 34 2 82 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 132 134 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=12, 2 10 2 34 2 82

SPT(16)	2027432048766443623	0 24 40 90 126 148 166 220 234 288 306 328 364 414 430 454	-2163808891216
TPT(14)	2027432246466351407	0 2 60 62 90 92 132 134 174 176 180 182 222 224	-1966108983432
TPT(14)	2027432767341811601	0 2 78 80 120 122 156 158 186 188 198 200 288 290	-1445233523238
STPT(10)	2027433504353366267	0 2 30 32 72 74 114 116 144 146	-708221968572
STPT(10)	2027433507508752479	0 2 42 44 90 92 138 140 180 182	-705066582360
STPT(10)	2027433968533223837	0 2 30 32 72 74 114 116 144 146	-244042111002
SPT(18)	2027434232864493623	0 8 18 30 36 48 60 78 86 120 128 146 158 170 176 188 198 206	20289158784
STPT(10)	2027434420314334061	0 2 30 32 60 62 90 92 120 122	207738999222
SPT(16)	2027434424232808973	0 6 20 26 68 96 98 104 120 126 128 156 198 204 218 224	211657474134
STPT(10)	2027434457272579679	0 2 18 20 30 32 42 44 60 62	244697244840
SPT(16)	2027434679533655719	0 34 40 42 88 94 120 144 238 262 288 294 340 342 348 382	466958320880