Prime p₀= 2865103386106011767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: [SG]ATA-Rolf
db: batch=82, k=12, 2 10 2 76 2 40

STPT(10)	2865101618723367629	0 2 12 14 90 92 168 170 180 182	-1767382644138
SPT(16)	2865101728931802011	0 2 56 66 126 138 150 152 156 158 170 182 242 252 306 308	-1657174209756
SPT(16)	2865101761691819371	0 12 36 40 78 82 96 102 106 112 126 130 168 172 196 208	-1624414192396
SPT(16)	2865101768105994983	0 24 38 48 60 74 90 96 158 164 180 194 206 216 230 254	-1618000016784
STPT(10)	2865102259593542999	0 2 30 32 60 62 90 92 120 122	-1126512468768
SPT(16)	2865103187692365821	0 12 18 56 60 66 102 116 132 146 182 188 192 230 236 248	-198413645946
SPT(16)	2865103578385985059	0 12 30 40 88 100 120 148 204 232 252 264 312 322 340 352	192279973292
STPT(10)	2865103579807835591	0 2 36 38 78 80 120 122 156 158	193701823824
SPT(16)	2865103580486687921	0 2 6 8 20 78 122 156 182 216 260 318 330 332 336 338	194380676154
SPT(18)	2865103746709979197	0 34 40 82 106 124 132 216 222 274 280 364 372 390 414 456 462 496	360603967430
SPT(16)	2865103776788004373	0 24 30 46 96 144 166 178 216 228 250 298 348 364 370 394	390681992606