Prime p₀= 437907628370174381 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 88 2 46 2 22 2 28 2 (?)
a_n: 0 2 18 20 108 110 156 158 180 182 210 212
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: 212
Found by: Cruncher Pete
db: batch=70, k=12, 16 88 46 22 28

SPT(14)	437907565728684859	0 42 48 82 118 132 178 192 238 252 288 322 328 370	-62641489522
SPT(14)	437907580003089517	0 6 16 60 72 100 102 124 126 154 166 210 220 226	-48367084864
SPT(14)	437907585740526269	0 18 20 104 110 114 170 198 254 258 264 348 350 368	-42629648112
SPT(14)	437907589320292327	0 4 34 70 84 106 112 144 150 172 186 222 252 256	-39049882054
TPT(12)	437907596179909391	0 2 6 8 48 50 90 92 180 182 240 242	-32190264990
SPT(14)	437907614883716597	0 42 54 146 156 170 252 284 366 380 390 482 494 536	-13486457784
SPT(14)	437907639063408743	0 26 60 66 78 126 138 146 158 206 218 224 258 284	10693234362
TPT(12)	437907642869426531	0 2 18 20 156 158 180 182 228 230 240 242	14499252150
SPT(14)	437907656983410311	0 12 26 36 38 90 92 96 98 150 152 162 176 188	28613235930
SPT(14)	437907660780640861	0 40 48 72 82 90 100 210 220 228 238 262 270 310	32410466480
SPT(16)	437907674723701411	0 36 42 48 78 126 132 136 162 166 172 220 250 256 262 298	46353527030