Prime p₀= 21640555403900891 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 70 2 16 2 22 2 4 2 (?)
a_n: 0 2 6 8 78 80 96 98 120 122 126 128
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: 128
Found by: stoneageman
db: batch=65, k=12, 4 70 16 22 4

SPT(14)	21640501075674571	0 28 46 60 72 82 112 126 156 166 178 192 210 238	-54328226320
SPT(14)	21640503769623443	0 6 20 26 38 48 56 60 68 78 90 96 110 116	-51634277448
SPT(14)	21640507483366319	0 18 38 72 74 80 120 122 162 168 170 204 224 242	-47920534572
STPT(10)	21640510114108181	0 2 6 8 18 20 30 32 36 38	-45289792710
SPT(14)	21640512462569167	0 6 12 24 40 52 72 94 114 126 142 154 160 166	-42941331724
SPT(14)	21640534791024301	0 12 42 60 78 120 132 208 220 262 280 298 328 340	-20612876590
SPT(14)	21640562249826797	0 2 12 14 90 104 132 224 252 266 342 344 354 356	6845925906
SPT(14)	21640563218507243	0 14 90 108 140 156 164 240 248 264 296 314 390 404	7814606352
SPT(14)	21640586727044393	0 14 26 36 44 56 78 86 108 120 128 138 150 164	31323143502
SPT(14)	21640605253219501	0 22 76 82 90 106 118 120 132 148 156 162 216 238	49849318610
STPT(10)	21640606365090467	0 2 42 44 72 74 102 104 144 146	50961189576