Prime p₀= 1653447608471694809 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 64 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 138 140 168 170 210 212
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: 212
Found by: Dirk Broer
db: batch=79, k=12, 2 40 2 28 2 64

SPT(16)	1653445250980982587	0 22 72 84 120 130 142 156 160 174 186 196 232 244 294 316	-2357490712222
SPT(16)	1653445962415103863	0 88 90 96 168 180 186 198 226 238 244 256 328 334 336 424	-1646056590946
STPT(10)	1653446211532529987	0 2 60 62 72 74 84 86 144 146	-1396939164822
SPT(16)	1653446679098215693	0 6 30 54 90 124 168 196 228 256 300 334 370 394 418 424	-929373479116
STPT(10)	1653446824665815951	0 2 30 32 78 80 126 128 156 158	-783805878858
SPT(16)	1653447431683587623	0 24 44 48 54 80 150 186 278 314 384 410 416 420 440 464	-176788107186
STPT(10)	1653447867913652021	0 2 30 32 78 80 126 128 156 158	259441957212
SPT(16)	1653447894485150251	0 48 76 112 160 166 178 180 208 210 222 228 276 312 340 388	286013455442
SPT(16)	1653447999737658233	0 14 18 48 84 116 126 128 156 158 168 200 236 266 270 284	391265963424
SPT(16)	1653448716376399717	0 34 46 54 60 66 90 126 130 166 190 196 202 210 222 256	1107904704908
STPT(10)	1653448825125765737	0 2 24 26 42 44 60 62 84 86	1216654070928