Prime p₀= 2167587435288070847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 58 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 132 134 162 164 204 206
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: 206
Found by: Groo
db: batch=81, k=12, 2 40 2 28 2 58

STPT(10)	2167586055512782571	0 2 6 8 18 20 30 32 36 38	-1379775288276
SPT(16)	2167586284263132913	0 4 34 48 60 66 166 180 244 258 358 364 376 390 420 424	-1151024937934
STPT(10)	2167586394512960747	0 2 60 62 72 74 84 86 144 146	-1040775110100
SPT(20)	2167586556865607201	0 90 98 168 188 192 216 296 330 360 398 428 462 542 566 570 590 660 668 758	-878422463646
STPT(10)	2167586933343973781	0 2 6 8 48 50 90 92 96 98	-501944097066
SPT(16)	2167587017551613113	0 54 84 108 114 126 136 178 186 228 238 250 256 280 310 364	-417736457734
STPT(10)	2167587603468964679	0 2 30 32 60 62 90 92 120 122	168180893832
SPT(16)	2167587771007238519	0 38 90 108 120 168 170 174 284 288 290 338 350 368 420 458	335719167672
SPT(16)	2167588136016385063	0 10 28 48 94 108 156 196 198 238 286 300 346 366 384 394	700728314216
SPT(16)	2167588585717234607	0 26 56 114 120 180 204 270 296 362 386 446 452 510 540 566	1150429163760
TPT(14)	2167588652966678231	0 2 36 38 78 80 96 98 108 110 246 248 378 380	1217678607384