Prime p₀= 2045627226971260949 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=12, 2 28 2 10 2 34

SPT(16)	2045626476818793983	0 6 36 38 56 60 74 86 288 300 314 318 336 338 368 374	-750152466966
SPT(16)	2045626484592698849	0 24 50 62 80 84 140 188 234 282 338 342 360 372 398 422	-742378562100
SPT(16)	2045626694203588537	0 16 30 34 40 66 84 100 126 142 160 186 192 196 210 226	-532767672412
STPT(10)	2045626774873742111	0 2 6 8 18 20 30 32 36 38	-452097518838
STPT(10)	2045627005619418341	0 2 30 32 180 182 330 332 360 362	-221351842608
SPT(13)	2045627163912920737	0 42 114 144 252 270 312 354 372 480 510 582 624	-63058340212
STPT(10)	2045627298046739501	0 2 6 8 48 50 90 92 96 98	71075478552
SPT(16)	2045627625845198609	0 2 18 30 44 54 74 84 158 168 188 198 212 224 240 242	398873937660
SPT(16)	2045627825501819863	0 10 16 30 64 66 78 106 168 196 208 210 244 258 264 274	598530558914
SPT(16)	2045628373224549263	0 54 80 104 140 146 174 198 206 230 258 264 300 324 350 404	1146253288314
SPT(16)	2045628392482937959	0 28 34 54 72 90 100 120 202 222 232 250 268 288 294 322	1165511677010