Prime p₀= 1233228002030939897 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: Theadalus
db: batch=77, k=12, 2 10 2 76 2 40

SPT(16)	1233226485371032409	0 78 80 98 138 164 174 230 252 308 318 344 384 402 404 482	-1516659907488
SPT(16)	1233226490468375357	0 12 84 92 104 120 152 174 182 204 236 252 264 272 344 356	-1511562564540
SPT(16)	1233226826809540649	0 32 42 144 150 158 182 188 204 210 234 242 248 350 360 392	-1175221399248
STPT(10)	1233227047079141687	0 2 24 26 42 44 60 62 84 86	-954951798210
SPT(16)	1233227635109656489	0 30 72 78 88 90 102 130 132 160 172 174 184 190 232 262	-366921283408
TPT(14)	1233228002030939879	0 2 18 20 30 32 108 110 150 152 228 230 240 242	-18
SPT(16)	1233228106043316763	0 28 58 76 100 108 120 130 174 184 196 204 228 246 276 304	104012376866
SPT(13)	1233228319320710533	0 18 90 156 168 216 228 240 288 300 366 438 456	317289770636
SPT(16)	1233228817795983269	0 20 32 42 158 210 248 288 314 354 392 444 560 570 582 602	815765043372
TPT(16)	1233229195979178911	0 2 60 62 120 122 168 170 210 212 216 218 396 398 426 428	1193948239014
SPT(16)	1233229279011554599	0 4 12 42 78 82 88 112 120 144 150 154 190 220 228 232	1276980614702