Prime p₀= 2040718106386067621 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 22 2 154 2 22 2 4 2 (?)
a_n: 0 2 6 8 30 32 186 188 210 212 216 218
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: 218
Found by: Landjunge
db: batch=80, k=12, 2 4 2 22 2 154

TPT(14)	2040716626001302187	0 2 12 14 72 74 120 122 162 164 234 236 252 254	-1480384765434
TPT(14)	2040716772055650569	0 2 60 62 102 104 108 110 138 140 390 392 570 572	-1334330417052
SPT(16)	2040717028089245551	0 28 42 70 106 118 138 148 180 190 210 222 258 286 300 328	-1078296822070
STPT(10)	2040717071331251561	0 2 78 80 108 110 138 140 216 218	-1035054816060
SPT(16)	2040717254036257229	0 32 42 54 68 80 98 104 108 114 132 144 158 170 180 212	-852349810392
SPT(16)	2040717762633969091	0 28 66 96 100 106 150 168 220 238 282 288 292 322 360 388	-343752098530
SPT(16)	2040718544984345407	0 30 42 54 90 124 172 192 244 264 312 346 382 394 406 436	438598277786
TPT(14)	2040718673093702081	0 2 6 8 30 32 60 62 138 140 240 242 258 260	566707634460
STPT(10)	2040719194375848977	0 2 42 44 72 74 102 104 144 146	1087989781356
STPT(10)	2040719802820329479	0 2 30 32 60 62 90 92 120 122	1696434261858
SPT(16)	2040719949142568587	0 4 34 46 76 102 150 166 180 196 244 270 300 312 342 346	1842756500966