Prime p₀= 2025607111028676689 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 82 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 132 134 138 140 180 182
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 40 2 4 2 82

SPT(16)	2025605325744421871	0 30 36 42 62 72 80 102 146 168 176 186 206 212 218 248	-1785284254818
STPT(10)	2025605600965088069	0 2 48 50 90 92 132 134 180 182	-1510063588620
STPT(10)	2025605976219036047	0 2 42 44 72 74 102 104 144 146	-1134809640642
STPT(10)	2025606111907526777	0 2 30 32 72 74 114 116 144 146	-999121149912
SPT(16)	2025606729759883169	0 8 44 72 92 162 182 204 278 300 320 390 410 438 474 482	-381268793520
SPT(16)	2025606977866541059	0 12 18 40 48 70 72 90 112 130 132 154 162 184 190 202	-133162135630
STPT(10)	2025607489079671571	0 2 6 8 48 50 90 92 96 98	378050994882
STPT(10)	2025607685536834541	0 2 6 8 18 20 30 32 36 38	574508157852
SPT(16)	2025607800447633587	0 6 12 14 66 120 132 146 210 224 236 290 342 344 350 356	689418956898
SPT(16)	2025607866462293717	0 36 44 74 90 104 114 120 140 146 156 170 186 216 224 260	755433617028
SPT(16)	2025607950344504809	0 10 40 100 150 160 220 244 258 282 342 352 402 462 492 502	839315828120