Prime p₀= 836366175768621467 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 40 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 102 104
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: 104
Found by: EarlyBird@Zircons
db: batch=73, k=12, 2 10 2 16 2 40

SPT(16)	836363806396642343	0 44 56 80 86 96 156 164 210 218 278 288 294 318 330 374	-2369371979124
STPT(10)	836364152575279871	0 2 6 8 48 50 90 92 96 98	-2023193341596
SPT(16)	836364271432248199	0 4 58 78 88 114 120 130 138 148 154 180 190 210 264 268	-1904336373268
STPT(10)	836365454240172677	0 2 60 62 72 74 84 86 144 146	-721528448790
STPT(10)	836365866622864619	0 2 18 20 30 32 42 44 60 62	-309145756848
SPT(16)	836366088814386233	0 20 48 50 60 96 98 138 146 186 188 224 234 236 264 284	-86954235234
SPT(16)	836367006511466371	0 58 60 106 190 196 208 222 256 270 282 288 372 418 420 478	830742844904
SPT(20)	836367087227730287	0 6 12 32 36 62 66 92 102 116 126 140 150 176 180 206 210 230 236 242	911459108820
SPT(16)	836367419274989101	0 10 12 22 30 42 58 66 112 120 136 148 156 166 168 178	1243506367634
SPT(16)	836367449125037597	0 14 42 50 60 92 152 162 224 234 294 326 336 344 372 386	1273356416130
SPT(16)	836367915350111423	0 14 90 104 114 138 164 198 206 240 266 290 300 314 390 404	1739581489956