Prime p₀= 734278325091130247 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 64 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 150 152 192 194 234 236
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: [SG-2W]Kurzer
db: batch=73, k=12, 2 40 2 40 2 64

SPT(16)	734276369072043199	0 12 22 42 48 52 78 94 108 124 150 154 160 180 190 202	-1956019087048
STPT(10)	734276930663179661	0 2 6 8 18 20 30 32 36 38	-1394427950586
SPT(16)	734277176495502691	0 16 18 90 102 148 150 162 226 238 240 286 298 370 372 388	-1148595627556
SPT(16)	734277559980556793	0 18 38 48 90 116 120 138 146 164 168 194 236 246 266 284	-765110573454
TPT(16)	734277690674601191	0 2 18 20 66 68 108 110 156 158 180 182 228 230 336 338	-634416529056
SPT(16)	734278312978895609	0 2 78 92 138 140 158 162 218 222 240 242 288 302 378 380	-12112234638
SPT(16)	734278812558440477	0 20 30 32 72 102 132 150 164 182 212 242 282 284 294 314	487467310230
SPT(16)	734278966243577263	0 28 40 60 78 94 126 166 318 358 390 406 424 444 456 484	641152447016
SPT(16)	734279120741738479	0 10 88 102 118 172 180 190 360 370 378 432 448 462 540 550	795650608232
SPT(16)	734279235982410649	0 24 40 70 88 114 130 144 178 192 208 234 252 282 298 322	910891280402
SPT(16)	734279306609931941	0 26 36 56 78 102 110 146 342 378 386 410 432 452 462 488	981518801694