Prime p₀= 845270766246556547 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 120 122 162 164
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: 164
Found by: ChelseaOilman
db: batch=73, k=12, 2 40 2 16 2 40

SPT(16)	845270005507258889	0 18 62 78 122 138 164 188 264 288 314 330 374 390 434 452	-760739297658
TPT(14)	845270067823589339	0 2 72 74 150 152 192 194 222 224 240 242 252 254	-698422967208
SPT(16)	845270072020256161	0 58 76 90 96 100 142 198 220 276 318 322 328 342 360 418	-694226300386
SPT(16)	845270140751819857	0 40 70 100 142 156 162 202 294 334 340 354 396 426 456 496	-625494736690
SPT(16)	845270140785294223	0 16 18 46 58 84 108 114 130 136 160 186 198 226 228 244	-625461262324
STPT(10)	845270511634616201	0 2 36 38 78 80 120 122 156 158	-254611940346
STPT(10)	845270937339145307	0 2 12 14 42 44 72 74 84 86	171092588760
STPT(10)	845271050465161277	0 2 42 44 72 74 102 104 144 146	284218604730
TPT(14)	845271094262834297	0 2 84 86 240 242 312 314 324 326 354 356 414 416	328016277750
STPT(10)	845271360080126891	0 2 6 8 18 20 30 32 36 38	593833570344
SPT(16)	845271513126326527	0 36 40 42 64 70 76 90 106 120 126 132 154 156 160 196	746879769980