Prime p₀= 5323806703839719 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 58 2 64 2 28 2 40 2 (?)
a_n: 0 2 42 44 102 104 168 170 198 200 240 242
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: Alez
db: batch=61, k=12, 40 58 64 28 40

SPT(14)	5323779967668559	0 12 18 24 42 82 108 154 180 220 238 244 250 262	-26736171160
SPT(14)	5323781686813901	0 12 26 86 90 110 128 150 168 188 192 252 266 278	-25017025818
TPT(12)	5323790296478579	0 2 48 50 72 74 120 122 210 212 252 254	-16407361140
SPT(16)	5323796654767849	0 34 82 112 114 124 150 250 294 394 420 430 432 462 510 544	-10049071870
SPT(14)	5323799885563387	0 4 40 54 82 96 112 114 130 144 172 186 222 226	-6818276332
SPT(14)	5323806572993081	0 120 216 236 248 266 288 290 312 330 342 362 458 578	-130846638
SPT(14)	5323808314661569	0 28 40 52 88 90 108 154 172 174 210 222 234 262	1610821850
SPT(14)	5323817096062441	0 16 28 30 40 78 88 138 148 186 196 198 210 226	10392222722
SPT(14)	5323819778611339	0 64 84 108 132 162 172 210 220 250 274 298 318 382	13074771620
SPT(14)	5323831473025433	0 18 20 30 44 78 84 104 110 144 158 168 170 188	24769185714
TPT(12)	5323834627613351	0 2 36 38 66 68 90 92 126 128 150 152	27923773632