Prime p₀= 1597040289702027557 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 162 164
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: biodoc
db: batch=78, k=12, 2 28 2 40 2 16

SPT(16)	1597038715502340689	0 18 24 60 98 102 132 164 168 200 230 234 272 308 314 332	-1574199686868
SPT(16)	1597038825211729349	0 14 32 38 50 90 120 162 170 212 242 282 294 300 318 332	-1464490298208
STPT(10)	1597039317459170909	0 2 42 44 60 62 78 80 120 122	-972242856648
STPT(10)	1597039586759661509	0 2 12 14 90 92 168 170 180 182	-702942366048
SPT(16)	1597039622350305319	0 54 82 90 130 138 174 184 198 208 244 252 292 300 328 382	-667351722238
TPT(14)	1597039833634466537	0 2 54 56 114 116 222 224 240 242 264 266 324 326	-456067561020
TPT(14)	1597040291071201979	0 2 132 134 168 170 210 212 228 230 270 272 300 302	1369174422
STPT(10)	1597040533104318059	0 2 18 20 30 32 42 44 60 62	243402290502
SPT(16)	1597040604340834361	0 2 8 30 38 56 60 66 92 98 102 120 128 150 156 158	314638806804
STPT(10)	1597040759362717307	0 2 60 62 72 74 84 86 144 146	469660689750
SPT(16)	1597040930018736149	0 2 24 48 62 72 78 84 128 134 140 150 164 188 210 212	640316708592