Prime p₀= 1209930583649277947 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 16 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 90 92 120 122 162 164
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: xii5ku
db: batch=77, k=12, 2 40 2 28 2 16

TPT(14)	1209928527846426989	0 2 12 14 30 32 102 104 108 110 168 170 228 230	-2055802850958
STPT(10)	1209928799626236539	0 2 12 14 90 92 168 170 180 182	-1784023041408
STPT(10)	1209929199713859101	0 2 36 38 78 80 120 122 156 158	-1383935418846
SPT(16)	1209929521205419603	0 4 46 66 84 108 124 130 144 150 166 190 208 228 270 274	-1062443858344
STPT(10)	1209929704459028219	0 2 18 20 30 32 42 44 60 62	-879190249728
SPT(16)	1209930559066999867	0 16 34 42 54 60 66 82 144 160 166 172 184 192 210 226	-24582278080
STPT(10)	1209930710033323319	0 2 18 20 30 32 42 44 60 62	126384045372
SPT(13)	1209930999164174447	0 24 30 42 54 90 132 174 210 222 234 240 264	415514896500
STPT(10)	1209931055306932139	0 2 18 20 30 32 42 44 60 62	471657654192
SPT(16)	1209931369587711739	0 12 28 34 40 48 78 160 282 364 394 402 408 414 430 442	785938433792
SPT(20)	1209931471157376677	0 20 26 62 66 80 84 164 182 222 224 264 282 362 366 380 384 420 426 446	887508098730