Prime p₀= 2154267016134615047 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=12, 2 10 2 16 2 22

SPT(16)	2154265402582194457	0 36 52 54 76 124 150 204 322 376 402 450 472 474 490 526	-1613552420590
SPT(16)	2154265620061196063	0 6 14 30 48 114 144 146 168 170 200 266 284 300 308 314	-1396073418984
SPT(16)	2154265669160108671	0 10 40 48 52 70 72 96 112 136 138 156 160 168 198 208	-1346974506376
SPT(16)	2154266012563193021	0 30 38 80 108 110 132 138 182 188 210 212 240 282 290 320	-1003571422026
STPT(10)	2154266505858668417	0 2 60 62 72 74 84 86 144 146	-510275946630
STPT(12)	2154266855624565221	0 2 66 68 78 80 198 200 210 212 276 278	-160510049826
STPT(10)	2154267079516971227	0 2 30 32 42 44 54 56 84 86	63382356180
STPT(10)	2154267083628497567	0 2 30 32 72 74 114 116 144 146	67493882520
TPT(14)	2154267305372090429	0 2 162 164 222 224 288 290 300 302 378 380 420 422	289237475382
STPT(10)	2154267481710570011	0 2 30 32 78 80 126 128 156 158	465575954964
SPT(16)	2154267576787949983	0 10 76 90 96 114 150 174 226 250 286 304 310 324 390 400	560653334936