Prime p₀= 243450847484990699 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 22 2 4 2 10 2 58 2 (?)
a_n: 0 2 138 140 162 164 168 170 180 182 240 242
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: scrap
db: batch=69, k=12, 136 22 4 10 58

SPT(14)	243450801551823301	0 10 36 60 120 130 148 150 168 178 238 262 288 298	-45933167398
SPT(20)	243450809435216389	0 10 24 70 100 118 142 144 168 172 180 184 208 210 234 252 282 328 342 352	-38049774310
TPT(12)	243450822770983109	0 2 42 44 60 62 102 104 198 200 240 242	-24714007590
SPT(14)	243450823891673249	0 8 68 78 92 98 102 140 144 150 164 174 234 242	-23593317450
SPT(14)	243450840509821537	0 10 52 66 84 102 120 136 154 172 190 204 246 256	-6975169162
SPT(14)	243450843944182393	0 10 18 28 60 88 94 114 120 148 180 190 198 208	-3540808306
SPT(16)	243450853776787633	0 28 36 58 100 130 216 228 268 280 366 396 438 460 468 496	6291796934
SPT(14)	243450855355006339	0 22 40 108 148 162 190 222 250 264 304 372 390 412	7870015640
SPT(14)	243450858858216071	0 6 90 108 110 122 138 140 156 168 170 188 272 278	11373225372
SPT(14)	243450879883052407	0 16 24 34 40 42 66 100 124 126 132 142 150 166	32398061708
SPT(14)	243450894778271567	0 24 36 66 80 84 92 114 122 126 140 170 182 206	47293280868