Prime p₀= 12146365039806719 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 70 2 16 2 (?)
a_n: 0 2 42 44 78 80 120 122 192 194 210 212
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: 212
Found by: crashtech
db: batch=62, k=12, 40 34 40 70 16

SPT(14)	12146332669821271	0 36 42 88 108 126 130 168 172 190 210 256 262 298	-32369985448
SPT(20)	12146333906012707	0 24 84 112 114 120 144 154 186 192 274 280 312 322 346 352 354 382 442 466	-31133794012
SPT(14)	12146338672274341	0 42 52 78 118 120 166 192 238 240 280 306 316 358	-26367532378
SPT(14)	12146349835120411	0 16 22 28 42 60 102 106 148 166 180 186 192 208	-15204686308
SPT(14)	12146349876677141	0 38 48 60 90 152 188 192 228 290 320 332 342 380	-15163129578
SPT(18)	12146358753716587	0 30 36 46 64 66 102 162 180 196 214 274 310 312 330 340 346 376	-6286090132
SPT(14)	12146391866008321	0 6 36 60 76 82 88 120 126 132 148 172 202 208	26826201602
TPT(12)	12146399096426039	0 2 18 20 30 32 42 44 90 92 168 170	34056619320
SPT(16)	12146404553712511	0 18 46 78 88 90 96 102 106 112 118 120 130 162 190 208	39513905792
TPT(12)	12146405250367601	0 2 36 38 48 50 66 68 108 110 210 212	40210560882
SPT(14)	12146406982354553	0 18 20 56 84 86 150 164 228 230 258 294 296 314	41942547834