Prime p₀= 248720374056344189 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 76 2 28 2 58 2 (?)
a_n: 0 2 60 62 72 74 150 152 180 182 240 242
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: 242
Found by: Ralfy
db: batch=69, k=12, 58 10 76 28 58

SPT(14)	248720282639744731	0 28 78 90 118 238 252 316 330 450 478 490 540 568	-91416599458
SPT(14)	248720293349333329	0 12 28 60 82 124 138 184 198 240 262 294 310 322	-80707010860
SPT(14)	248720301543407801	0 18 20 56 78 92 108 200 216 230 252 288 290 308	-72512936388
SPT(16)	248720348943393839	0 12 30 80 102 162 168 180 182 194 200 260 282 332 350 362	-25112950350
SPT(16)	248720358262456039	0 10 18 22 42 60 70 78 112 120 130 148 168 172 180 190	-15793888150
TPT(12)	248720370347657147	0 2 30 32 60 62 90 92 162 164 252 254	-3708687042
SPT(14)	248720392030474513	0 18 36 48 64 76 88 186 198 210 226 238 256 274	17974130324
SPT(14)	248720392065030581	0 26 42 50 66 86 90 128 132 152 168 176 192 218	18008686392
SPT(14)	248720416834940851	0 12 78 120 138 180 198 202 220 262 280 322 388 400	42778596662
SPT(14)	248720447468494909	0 10 18 22 24 34 42 70 78 88 90 94 102 112	73412150720
SPT(14)	248720460591634397	0 6 42 62 72 92 114 182 204 224 234 254 290 296	86535290208