Prime p₀= 2423417397483033689 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 100 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 180 182 210 212 258 260
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: 260
Found by: [SG-FC] hl
db: batch=82, k=12, 2 46 2 28 2 100

SPT(16)	2423414246508154447	0 52 160 162 190 192 220 252 280 312 340 342 370 372 480 532	-3150974879242
SPT(16)	2423414277677437763	0 8 20 26 38 56 96 140 144 188 228 246 258 264 276 284	-3119805595926
SPT(16)	2423414589226711133	0 36 44 56 170 186 296 344 390 438 548 564 678 690 698 734	-2808256322556
STPT(10)	2423415565287717071	0 2 30 32 78 80 126 128 156 158	-1832195316618
TPT(14)	2423417002394561189	0 2 78 80 132 134 162 164 198 200 252 254 282 284	-395088472500
SPT(16)	2423417191532724979	0 4 18 30 40 48 54 72 100 118 124 132 142 154 168 172	-205950308710
SPT(16)	2423417469208140617	0 6 42 90 114 132 144 174 312 342 354 372 396 444 480 486	71725106928
SPT(16)	2423417897157560729	0 24 62 128 164 170 192 200 222 230 252 258 294 360 398 422	499674527040
STPT(10)	2423418305433898049	0 2 12 14 90 92 168 170 180 182	907950864360
SPT(16)	2423418306674053301	0 2 8 42 62 90 110 162 188 240 260 288 308 342 348 350	909191019612
SPT(16)	2423418385433186573	0 20 38 48 60 104 116 120 164 168 180 224 236 246 264 284	987950152884