Prime p₀= 144464392399252571 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 58 2 106 2 10 2 4 2 (?)
a_n: 0 2 60 62 120 122 228 230 240 242 246 248
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: 248
Found by: emoga
db: batch=67, k=12, 58 58 106 10 4

SPT(14)	144464373882277243	0 6 36 64 88 100 130 144 174 186 210 238 268 274	-18516975328
STPT(10)	144464376034807721	0 2 6 8 48 50 90 92 96 98	-16364444850
SPT(14)	144464378185795049	0 32 50 68 78 90 128 144 182 194 204 222 240 272	-14213457522
SPT(14)	144464384542225123	0 60 168 210 228 250 258 286 294 316 334 376 484 544	-7857027448
SPT(14)	144464387411204719	0 34 70 82 144 160 172 210 222 238 300 312 348 382	-4988047852
TPT(12)	144464389453964117	0 2 24 26 42 44 72 74 114 116 150 152	-2945288454
TPT(12)	144464396504537477	0 2 30 32 60 62 84 86 132 134 144 146	4105284906
SPT(14)	144464396564076349	0 22 48 60 120 144 208 294 358 382 442 454 480 502	4164823778
SPT(14)	144464397857759599	0 72 118 124 132 142 162 250 270 280 288 294 340 412	5458507028
SPT(14)	144464401167976741	0 18 22 40 42 90 102 106 118 166 168 186 190 208	8768724170
SPT(14)	144464409189764269	0 12 22 28 64 90 160 162 232 258 294 300 310 322	16790511698