Prime p₀= 1997310281386956671 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: Chooka
db: batch=80, k=12, 2 34 2 10 2 28

SPT(18)	1997309695629840301	0 10 40 42 78 108 132 138 162 166 190 196 220 250 286 288 318 328	-585757116370
TPT(14)	1997309794292781377	0 2 12 14 24 26 90 92 192 194 204 206 210 212	-487094175294
SPT(16)	1997309798557428139	0 12 22 28 58 78 82 100 162 180 184 204 234 240 250 262	-482829528532
SPT(16)	1997309927510976493	0 4 70 84 88 90 94 108 136 150 154 156 160 174 240 244	-353875980178
SPT(16)	1997310007674693067	0 6 30 42 52 76 90 130 156 196 210 234 244 256 280 286	-273712263604
STPT(10)	1997310103644345377	0 2 30 32 42 44 54 56 84 86	-177742611294
STPT(10)	1997310355125379001	0 2 36 38 78 80 120 122 156 158	73738422330
SPT(16)	1997310414933877327	0 4 16 40 72 114 120 124 162 166 172 214 246 270 282 286	133546920656
STPT(12)	1997310424239291947	0 2 30 32 42 44 90 92 102 104 132 134	142852335276
TPT(14)	1997310424239291947	0 2 30 32 42 44 90 92 102 104 132 134 210 212	142852335276
SPT(16)	1997310501288370313	0 14 50 108 110 234 248 258 266 276 290 414 416 474 510 524	219901413642