Prime p₀= 252899539467866969 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 106 2 70 2 16 2 (?)
a_n: 0 2 18 20 30 32 138 140 210 212 228 230
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: 230
Found by: scrap
db: batch=69, k=12, 16 10 106 70 16

SPT(14)	252899478843169607	0 12 50 60 86 102 144 152 194 210 236 246 284 296	-60624697362
SPT(14)	252899479469886191	0 20 60 116 138 150 152 216 218 230 252 308 348 368	-59997980778
SPT(14)	252899499134461931	0 8 20 36 66 78 92 96 110 122 152 168 180 188	-40333405038
SPT(16)	252899502544689397	0 22 60 70 82 106 144 150 166 172 210 234 246 256 294 316	-36923177572
SPT(14)	252899503401166249	0 4 34 144 150 162 190 192 220 232 238 348 378 382	-36066700720
TPT(12)	252899519992665107	0 2 102 104 144 146 240 242 300 302 342 344	-19475201862
TPT(12)	252899545388282201	0 2 66 68 78 80 126 128 138 140 258 260	5920415232
TPT(12)	252899552871901421	0 2 48 50 66 68 78 80 96 98 126 128	13404034452
SPT(14)	252899570858458591	0 16 22 28 40 78 90 148 160 198 210 216 222 238	31390591622
TPT(12)	252899607238683071	0 2 30 32 78 80 168 170 216 218 258 260	67770816102
TPT(12)	252899609721244877	0 2 30 32 42 44 54 56 72 74 144 146	70253377908