Prime p₀= 48330598568632307 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 28 2 28 2 (?)
a_n: 0 2 12 14 30 32 72 74 102 104 132 134
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: 134
Found by: Henk Haneveld
db: batch=65, k=12, 10 16 40 28 28

SPT(14)	48330559922773267	0 40 76 90 96 132 184 192 244 280 286 300 336 376	-38645859040
SPT(14)	48330566362369427	0 30 114 132 140 162 164 180 182 204 212 230 314 344	-32206262880
SPT(14)	48330569132827441	0 36 106 126 130 136 148 150 162 168 172 192 262 298	-29435804866
TPT(12)	48330569543579339	0 2 78 80 132 134 198 200 210 212 258 260	-29025052968
SPT(14)	48330573201676421	0 38 42 60 90 126 168 200 242 278 308 326 330 368	-25366955886
SPT(14)	48330574081585177	0 4 64 70 72 82 100 126 144 154 156 162 222 226	-24487047130
SPT(14)	48330605219556607	0 30 72 82 100 154 156 160 162 216 234 244 286 316	6650924300
SPT(16)	48330606027690227	0 66 80 86 120 152 156 170 246 260 264 296 330 336 350 416	7459057920
SPT(14)	48330611694670441	0 10 70 78 100 168 210 268 310 378 400 408 468 478	13126038134
STPT(10)	48330612412767299	0 2 18 20 30 32 42 44 60 62	13844134992
SPT(14)	48330616459128317	0 6 32 66 74 144 152 264 272 342 350 384 410 416	17890496010