Prime p₀= 293042304386155001 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 34 2 70 2 58 2 40 2 (?)
a_n: 0 2 60 62 96 98 168 170 228 230 270 272
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: 272
Found by: emoga
db: batch=69, k=12, 58 34 70 58 40

SPT(14)	293042227915008821	0 6 30 36 120 140 152 156 168 188 272 278 302 308	-76471146180
SPT(14)	293042228738955533	0 24 26 50 80 90 104 210 224 234 264 288 290 314	-75647199468
SPT(14)	293042250928179607	0 4 22 30 40 54 66 100 112 126 136 144 162 166	-53457975394
SPT(14)	293042255961679369	0 48 70 90 168 190 280 300 390 412 490 510 532 580	-48424475632
SPT(14)	293042281291453807	0 22 70 72 106 114 142 204 232 240 274 276 324 346	-23094701194
STPT(10)	293042299865424377	0 2 30 32 72 74 114 116 144 146	-4520730624
SPT(14)	293042311658339041	0 16 22 60 78 100 102 106 108 130 148 186 192 208	7272184040
SPT(16)	293042311808353537	0 22 36 136 160 180 190 204 292 306 316 336 360 460 474 496	7422198536
SPT(14)	293042343684568991	0 30 32 56 60 102 122 126 146 188 192 216 218 248	39298413990
TPT(12)	293042357354156777	0 2 162 164 174 176 222 224 252 254 300 302	52968001776
SPT(14)	293042357447230607	0 20 32 42 80 84 144 152 212 216 254 264 276 296	53061075606