Prime p₀= 1222841589029916551 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: Megacruncher
db: batch=77, k=12, 2 34 2 10 2 28

SPT(16)	1222840684086182633	0 14 68 84 134 146 168 216 218 266 288 300 350 366 420 434	-904943733918
SPT(16)	1222840769354812669	0 34 40 52 54 90 124 130 132 138 172 208 210 222 228 262	-819675103882
TPT(14)	1222840843203577391	0 2 6 8 96 98 138 140 276 278 300 302 330 332	-745826339160
SPT(16)	1222840993237311457	0 42 64 72 94 100 154 162 184 192 246 252 274 282 304 346	-595792605094
STPT(12)	1222841090893532597	0 2 42 44 60 62 84 86 102 104 144 146	-498136383954
SPT(16)	1222841377176598507	0 30 60 70 72 96 102 126 130 154 160 184 186 196 226 256	-211853318044
SPT(16)	1222841599837746899	0 8 30 54 80 98 108 114 134 140 150 168 194 218 240 248	10807830348
SPT(16)	1222841632446184943	0 44 80 86 114 126 150 156 188 194 218 230 258 264 300 344	43416268392
SPT(16)	1222841633120032307	0 56 90 140 156 170 174 246 350 422 426 440 456 506 540 596	44090115756
STPT(10)	1222842401842339217	0 2 30 32 60 62 90 92 120 122	812812422666
SPT(16)	1222842908249544041	0 6 12 32 56 96 108 132 236 260 272 312 336 356 362 368	1319219627490