Prime p₀= 588561665049837137 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 202 2 118 2 4 2 40 2 28 2 (?)
a_n: 0 2 204 206 324 326 330 332 372 374 402 404
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: 404
Found by: FDB ITALIA S.r.l.
db: batch=71, k=12, 202 118 4 40 28

SPT(16)	588561470908810387	0 22 24 42 52 70 106 196 240 330 366 384 394 412 414 436	-194141026750
SPT(14)	588561520889127041	0 2 18 32 42 72 90 110 128 158 168 182 198 200	-144160710096
SPT(14)	588561549948202903	0 4 28 34 48 64 78 160 174 190 204 210 234 238	-115101634234
SPT(14)	588561566973860539	0 12 22 24 42 64 90 112 138 160 178 180 190 202	-98075976598
SPT(14)	588561579426430537	0 4 16 72 76 130 142 174 186 240 244 300 312 316	-85623406600
TPT(12)	588561642630132887	0 2 102 104 132 134 210 212 282 284 342 344	-22419704250
TPT(12)	588561681666073931	0 2 60 62 96 98 168 170 180 182 228 230	16616236794
SPT(14)	588561682964523179	0 8 20 48 62 80 98 114 132 150 164 192 204 212	17914686042
TPT(12)	588561693884367521	0 2 6 8 36 38 48 50 66 68 138 140	28834530384
TPT(12)	588561708077930021	0 2 30 32 66 68 108 110 138 140 240 242	43028092884
SPT(14)	588561741477879859	0 30 34 88 130 144 160 222 238 252 294 348 352 382	76428042722