Prime p₀= 18694291393981589 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 106 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 180 182 192 194
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: 194
Found by: emoga
db: batch=62, k=12, 10 28 28 106 10

SPT(14)	18694265632416659	0 8 18 24 50 62 104 138 180 192 218 224 234 242	-25761564930
TPT(12)	18694270619098091	0 2 78 80 90 92 138 140 180 182 210 212	-20774883498
TPT(12)	18694272313170281	0 2 18 20 48 50 78 80 90 92 120 122	-19080811308
SPT(14)	18694273505989079	0 48 74 78 92 102 104 138 140 150 164 168 194 242	-17887992510
SPT(14)	18694274054151089	0 8 18 38 62 80 84 98 102 120 144 164 174 182	-17339830500
SPT(14)	18694286606785343	0 26 50 54 120 164 168 236 240 284 350 354 378 404	-4787196246
SPT(14)	18694317689743921	0 10 66 102 180 190 222 280 312 322 400 436 492 502	26295762332
SPT(14)	18694322517724663	0 6 54 64 76 90 106 108 124 138 150 160 208 214	31123743074
SPT(14)	18694331819020279	0 10 28 60 78 100 102 118 120 142 160 192 210 220	40425038690
SPT(14)	18694338711975301	0 30 36 42 60 90 102 156 168 198 216 222 228 258	47317993712
SPT(16)	18694353299069083	0 10 88 96 124 154 166 168 226 228 240 270 298 306 384 394	61905087494