Prime p₀= 998110723683307667 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: UBT - Timbo
db: batch=76, k=12, 2 10 2 10 2 4

SPT(16)	998109191732593177	0 30 46 102 132 196 256 292 300 336 396 460 490 546 562 592	-1531950714490
STPT(10)	998109561991303649	0 2 18 20 30 32 42 44 60 62	-1161692004018
SPT(16)	998110142417977493	0 14 20 36 48 56 66 80 84 98 108 116 128 144 150 164	-581265330174
STPT(10)	998110149864905981	0 2 36 38 78 80 120 122 156 158	-573818401686
SPT(13)	998110170350147713	0 6 24 84 96 126 150 174 204 216 276 294 300	-553333159954
SPT(16)	998110297706958509	0 2 54 84 132 138 162 170 222 230 254 260 308 338 390 392	-425976349158
STPT(10)	998110790582620397	0 2 42 44 72 74 102 104 144 146	66899312730
STPT(10)	998110812768178997	0 2 30 32 42 44 54 56 84 86	89084871330
SPT(16)	998110927095765317	0 66 72 92 116 134 176 204 212 240 282 300 324 344 350 416	203412457650
SPT(13)	998110980627444989	0 12 42 54 60 90 132 174 204 210 222 252 264	256944137322
STPT(10)	998111212610097527	0 2 30 32 42 44 54 56 84 86	488926789860