Prime p₀= 2879903032350114929 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 118 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 210 212 270 272 300 302
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: 302
Found by: Landjunge
db: batch=82, k=12, 2 28 2 58 2 118

SPT(16)	2879901447265483117	0 42 100 102 120 130 154 184 192 222 246 256 274 276 334 376	-1585084631812
STPT(10)	2879901818767201409	0 2 18 20 30 32 42 44 60 62	-1213582913520
SPT(16)	2879901912324932851	0 10 28 42 48 72 100 142 186 228 256 280 286 300 318 328	-1120025182078
STPT(10)	2879902026203470241	0 2 120 122 138 140 156 158 276 278	-1006146644688
TPT(14)	2879902069675718369	0 2 228 230 252 254 372 374 408 410 450 452 468 470	-962674396560
SPT(16)	2879902673245171829	0 12 72 98 114 134 138 140 162 164 168 188 204 230 290 302	-359104943100
STPT(10)	2879903215330100117	0 2 54 56 72 74 90 92 144 146	182979985188
STPT(10)	2879904056984927807	0 2 30 32 102 104 174 176 204 206	1024634812878
SPT(16)	2879904081700995133	0 4 36 46 54 114 136 166 168 198 220 280 288 298 330 334	1049350880204
SPT(16)	2879904083858285777	0 12 20 42 72 116 152 156 170 174 210 254 284 306 314 326	1051508170848
STPT(10)	2879904423609248879	0 2 18 20 30 32 42 44 60 62	1391259133950