Prime p₀= 2181322240442324867 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 184 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 240 242 264 266 294 296
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: 296
Found by: Landjunge
db: batch=81, k=12, 2 28 2 22 2 184

SPT(16)	2181320616299188003	0 28 40 54 58 66 120 136 138 154 208 216 220 234 246 274	-1624143136864
SPT(16)	2181321111810281957	0 20 24 26 32 36 42 54 62 74 80 84 90 92 96 116	-1128632042910
STPT(10)	2181321140977354499	0 2 12 14 30 32 48 50 60 62	-1099464970368
SPT(16)	2181321217823384011	0 16 30 72 156 198 202 216 292 306 310 352 436 478 492 508	-1022618940856
STPT(10)	2181321365989277957	0 2 30 32 42 44 54 56 84 86	-874453046910
SPT(16)	2181321945553366219	0 18 52 64 132 148 154 160 162 168 174 190 258 270 304 322	-294888958648
TPT(14)	2181322349800569299	0 2 18 20 30 32 198 200 228 230 240 242 258 260	109358244432
SPT(16)	2181322353661704397	0 4 22 70 72 100 102 112 114 124 126 154 156 204 222 226	113219379530
STPT(10)	2181322353661704467	0 2 30 32 42 44 54 56 84 86	113219379600
SPT(16)	2181322402221275069	0 12 102 110 138 144 150 158 234 242 248 254 282 290 380 392	161778950202
SPT(16)	2181322508422585727	0 12 24 44 122 146 156 266 390 500 510 534 612 632 644 656	267980260860