Prime p₀= 11450292159174527 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 40 2 64 2 52 2 4 2 (?)
a_n: 0 2 72 74 114 116 180 182 234 236 240 242
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: crashtech
db: batch=62, k=12, 70 40 64 52 4

SPT(14)	11450271510283927	0 6 46 54 66 144 166 180 202 280 292 300 340 346	-20648890600
TPT(16)	11450277689396081	0 2 6 8 30 32 48 50 96 98 156 158 258 260 306 308	-14469778446
SPT(14)	11450284310998837	0 22 30 36 42 72 90 106 124 154 160 166 174 196	-7848175690
SPT(14)	11450286795352117	0 10 16 52 66 72 94 102 124 130 144 180 186 196	-5363822410
SPT(14)	11450291471144693	0 14 60 84 126 128 258 266 396 398 440 464 510 524	-688029834
SPT(14)	11450291763097217	0 42 44 50 140 186 260 276 350 396 486 492 494 536	-396077310
SPT(14)	11450293353633611	0 26 36 50 60 80 102 116 138 158 168 182 192 218	1194459084
SPT(14)	11450298587654831	0 6 56 66 78 90 98 150 158 170 182 192 242 248	6428480304
SPT(14)	11450301732015007	0 4 16 46 70 120 154 156 190 240 264 294 306 310	9572840480
SPT(14)	11450301984294727	0 12 22 42 54 64 66 100 102 112 124 144 154 166	9825120200
SPT(14)	11450304947575873	0 40 78 108 120 126 150 166 190 196 208 238 276 316	12788401346