Prime p₀= 293142775649433011 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 28 2 16 2 202 2 58 2 (?)
a_n: 0 2 78 80 108 110 126 128 330 332 390 392
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: 392
Found by: mcf2020
db: batch=69, k=12, 76 28 16 202 58

SPT(14)	293142647743624457	0 44 62 104 114 126 132 224 230 242 252 294 312 356	-127905808554
SPT(14)	293142689143221287	0 32 44 54 62 84 126 170 212 234 242 252 264 296	-86506211724
TPT(12)	293142690379193021	0 2 120 122 168 170 246 248 318 320 330 332	-85270239990
SPT(14)	293142730066920911	0 2 6 36 42 66 80 132 146 170 176 206 210 212	-45582512100
TPT(12)	293142739750945547	0 2 84 86 192 194 204 206 222 224 234 236	-35898487464
SPT(14)	293142748181454817	0 52 70 120 126 142 144 202 204 220 226 276 294 346	-27467978194
SPT(14)	293142786588240217	0 10 40 66 76 94 96 124 126 144 154 180 210 220	10938807206
TPT(12)	293142789868460951	0 2 18 20 66 68 168 170 210 212 276 278	14219027940
TPT(12)	293142806010306251	0 2 126 128 240 242 270 272 348 350 390 392	30360873240
SPT(14)	293142834679047533	0 108 110 200 204 218 230 264 276 290 294 384 386 494	59029614522
SPT(14)	293142850101881441	0 8 90 102 120 146 288 320 462 488 506 518 600 608	74452448430