Prime p₀= 2417561191623440087 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: [SG-FC] hl
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2417559265043890049	0 24 62 78 120 132 140 150 302 312 320 332 374 390 428 452	-1926579550038
SPT(16)	2417560305615161183	0 26 74 80 96 140 164 168 266 270 294 338 354 360 408 434	-886008278904
SPT(13)	2417560356179153177	0 12 24 42 54 114 132 150 210 222 240 252 264	-835444286910
SPT(16)	2417560429450533989	0 12 30 72 84 110 114 138 224 248 252 278 290 332 350 362	-762172906098
SPT(16)	2417560558364787643	0 64 78 114 118 124 126 148 216 238 240 246 250 286 300 364	-633258652444
STPT(10)	2417560631433640739	0 2 12 14 90 92 168 170 180 182	-560189799348
SPT(16)	2417561392353186403	0 10 16 58 60 76 130 136 168 174 228 244 246 288 294 304	200729746316
SPT(16)	2417561767736419573	0 64 66 70 156 180 184 190 240 246 250 274 360 364 366 430	576112979486
SPT(18)	2417561855798990543	0 30 48 68 90 114 144 170 230 234 294 320 350 374 396 416 434 464	664175550456
TPT(14)	2417561891275998161	0 2 30 32 78 80 156 158 270 272 300 302 336 338	699652558074
SPT(16)	2417562227884236611	0 2 38 62 72 92 98 120 140 162 168 188 198 222 258 260	1036260796524