Prime p₀= 7224688475156561 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 40 2 16 2 (?)
a_n: 0 2 36 38 48 50 78 80 120 122 138 140
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: 140
Found by: [SG-2W]Kurzer
db: batch=62, k=12, 34 10 28 40 16

SPT(14)	7224666666067517	0 2 32 72 102 122 132 140 150 170 200 240 270 272	-21809089044
SPT(16)	7224667906433671	0 12 16 18 40 70 102 108 130 136 168 198 220 222 226 238	-20568722890
SPT(14)	7224669759460411	0 46 70 112 118 126 142 156 172 180 186 228 252 298	-18715696150
SPT(16)	7224675934727633	0 44 48 78 90 96 114 144 170 200 218 224 236 266 270 314	-12540428928
SPT(16)	7224679644753049	0 42 52 112 120 168 204 232 240 268 304 352 360 420 430 472	-8830403512
TPT(12)	7224684023953577	0 2 30 32 42 44 60 62 102 104 150 152	-4451202984
SPT(14)	7224691294887553	0 4 6 18 48 76 90 154 168 196 226 238 240 244	2819730992
TPT(12)	7224694285516907	0 2 210 212 402 404 414 416 432 434 444 446	5810360346
TPT(12)	7224705268840601	0 2 66 68 78 80 90 92 126 128 216 218	16793684040
SPT(18)	7224705553703791	0 6 28 46 48 52 66 82 112 156 186 202 216 220 222 240 262 268	17078547230
TPT(12)	7224715895357339	0 2 150 152 168 170 192 194 288 290 330 332	27420200778