Prime p₀= 25895606708294021 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 14 10 2 16 14 4 14 16 2 10 14 6 (?)
a_n: 0 6 20 30 32 48 62 66 80 96 98 108 122 128
All 14 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: Cruncher Pete
db: batch=65, k=14, 6 14 10 2 16 14 4

TPT(12)	25895563087691069	0 2 42 44 78 80 120 122 180 182 210 212	-43620602952
SPT(14)	25895568798491897	0 114 134 140 162 164 180 224 240 242 264 270 290 404	-37909802124
SPT(14)	25895596110192521	0 30 48 62 122 146 150 188 192 216 276 290 308 338	-10598101500
SPT(14)	25895601518849399	0 12 30 32 54 60 72 122 134 140 162 164 182 194	-5189444622
SPT(14)	25895603233288231	0 6 28 42 70 72 76 102 106 108 136 150 172 178	-3475005790
SPT(14)	25895603974223017	0 100 114 126 156 166 180 256 270 280 310 322 336 436	-2734071004
SPT(14)	25895612970681521	0 12 18 20 60 132 182 216 266 338 378 380 386 398	6262387500
SPT(14)	25895617902080851	0 18 22 72 78 100 130 138 168 190 196 246 250 268	11193786830
SPT(14)	25895618830296811	0 18 60 70 72 88 100 138 150 166 168 178 220 238	12122002790
SPT(14)	25895627814535807	0 12 52 60 66 72 94 102 124 130 136 144 184 196	21106241786
SPT(14)	25895632232556869	0 24 60 80 102 104 144 170 210 212 234 254 290 314	25524262848