Prime p₀= 2215128833327556659 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
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: 200
Found by: Penguin
db: batch=81, k=12, 2 28 2 46 2 40

SPT(16)	2215126225094511941	0 20 50 92 98 102 170 188 240 258 326 330 336 378 408 428	-2608233044718
STPT(10)	2215126532134766219	0 2 12 14 30 32 48 50 60 62	-2301192790440
SPT(16)	2215126890415370707	0 10 40 52 70 72 84 90 94 100 112 114 132 144 174 184	-1942912185952
SPT(16)	2215128150303781079	0 8 38 98 120 188 234 240 308 314 360 428 450 510 540 548	-683023775580
STPT(10)	2215128705901536749	0 2 42 44 60 62 78 80 120 122	-127426019910
SPT(16)	2215128712193754649	0 102 118 132 160 178 208 234 238 264 294 312 340 354 370 472	-121133802010
SPT(16)	2215129489500628823	0 6 24 44 66 90 104 140 240 276 290 314 336 356 374 380	656173072164
SPT(16)	2215129835102599049	0 8 12 24 50 78 84 108 164 188 194 222 248 260 264 272	1001775042390
SPT(16)	2215130042964169229	0 42 84 164 188 252 254 308 324 378 380 444 468 548 590 632	1209636612570
SPT(16)	2215130226013842227	0 26 30 44 56 72 132 186 320 374 434 450 462 476 480 506	1392686285568
STPT(10)	2215130623703570327	0 2 30 32 42 44 54 56 84 86	1790376013668