Prime p₀= 401158309719528239 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 100 2 4 2 40 2 40 2 (?)
a_n: 0 2 30 32 132 134 138 140 180 182 222 224
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: 224
Found by: Cruncher Pete
db: batch=70, k=12, 28 100 4 40 40

SPT(14)	401158254005971069	0 18 58 112 130 144 154 168 178 192 210 264 304 322	-55713557170
SPT(14)	401158269374124149	0 12 30 32 60 72 104 150 182 194 222 224 242 254	-40345404090
SPT(14)	401158273101136391	0 42 78 80 98 122 128 150 156 180 198 200 236 278	-36618391848
SPT(14)	401158278488694173	0 14 54 66 96 170 186 194 210 284 314 326 366 380	-31230834066
SPT(16)	401158288034484269	0 18 42 72 90 102 128 134 168 174 200 212 230 260 284 302	-21685043970
SPT(14)	401158290895573213	0 34 48 58 70 168 186 268 286 384 396 406 420 454	-18823955026
SPT(14)	401158340547521633	0 14 26 44 48 90 96 98 104 146 150 168 180 194	30827993394
SPT(14)	401158340694098719	0 4 28 30 58 64 90 112 138 144 172 174 198 202	30974570480
SPT(14)	401158365088936241	0 20 30 36 48 50 62 66 78 80 92 98 108 128	55369408002
SPT(14)	401158377871942763	0 20 24 30 44 56 78 86 108 120 134 140 144 164	68152414524
SPT(14)	401158404874316977	0 16 30 54 70 72 76 90 94 96 112 136 150 166	95154788738