Prime p₀= 399202960579968539 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 118 2 52 2 28 2 (?)
a_n: 0 2 42 44 78 80 198 200 252 254 282 284
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: 284
Found by: Cruncher Pete
db: batch=70, k=12, 40 34 118 52 28

SPT(14)	399202871459954851	0 18 22 72 78 90 100 120 130 142 148 198 202 220	-89120013688
SPT(14)	399202907303626627	0 36 60 66 84 90 126 130 166 172 190 196 220 256	-53276341912
SPT(14)	399202925684955709	0 10 28 70 78 88 118 120 150 160 168 210 228 238	-34895012830
SPT(14)	399202926116657591	0 18 42 66 110 126 132 236 242 258 302 326 350 368	-34463310948
SPT(14)	399202931730706841	0 8 12 26 30 78 86 132 140 188 192 206 210 218	-28849261698
SPT(14)	399202960075640947	0 30 42 52 64 66 72 154 160 162 174 184 196 226	-504327592
SPT(14)	399202999042227151	0 58 66 70 88 118 136 252 270 300 318 322 330 388	38462258612
SPT(14)	399203029693829329	0 24 64 78 82 94 112 150 168 180 184 198 238 262	69113860790
SPT(16)	399203029728145007	0 14 54 72 180 182 204 222 404 422 444 446 554 572 612 626	69148176468
SPT(14)	399203030661051787	0 4 76 102 112 114 130 156 172 174 184 210 282 286	70081083248
SPT(14)	399203055386417011	0 10 22 42 66 78 88 90 100 112 136 156 168 178	94806448472