Prime p₀= 201376237923334781 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 58 2 10 2 16 2 (?)
a_n: 0 2 30 32 66 68 126 128 138 140 156 158
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: 158
Found by: Megacruncher
db: batch=69, k=12, 28 34 58 10 16

SPT(14)	201376174191706691	0 20 38 62 72 80 86 102 108 116 126 150 168 188	-63731628090
SPT(14)	201376202302642183	0 24 34 36 46 76 78 136 138 168 178 180 190 214	-35620692598
SPT(14)	201376209015056519	0 38 90 98 120 134 140 162 168 182 204 212 264 302	-28908278262
SPT(14)	201376211240319041	0 62 80 168 210 218 258 350 390 398 440 528 546 608	-26683015740
SPT(14)	201376212150504103	0 100 124 144 154 168 186 238 256 270 280 300 324 424	-25772830678
SPT(14)	201376232297761153	0 10 34 48 64 66 90 94 118 120 136 150 174 184	-5625573628
SPT(14)	201376238744978191	0 46 58 66 90 100 126 160 186 196 220 228 240 286	821643410
SPT(14)	201376249223193221	0 20 90 116 126 146 218 240 312 332 342 368 438 458	11299858440
SPT(14)	201376250729500219	0 22 42 60 90 132 142 162 172 214 244 262 282 304	12806165438
SPT(14)	201376253779618847	0 14 56 102 122 194 206 210 222 294 314 360 402 416	15856284066
SPT(14)	201376256412492023	0 14 30 38 44 74 84 104 114 144 150 158 174 188	18489157242