Prime p₀= 958588380453046801 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 30 18 32 24 6 4 74 4 6 24 32 18 30 28 (?)
a_n: 0 28 58 76 108 132 138 142 216 220 226 250 282 300 330 358
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 358
Found by: stoneageman
db: batch=76, k=16, 28 30 18 32 24 6 4 74

SPT(16)	958587442082602499	0 18 30 44 68 72 84 98 114 128 140 144 168 182 194 212	-938370444302
STPT(10)	958587952313967341	0 2 36 38 78 80 120 122 156 158	-428139079460
SPT(16)	958588007285986621	0 42 60 76 96 102 108 118 180 190 196 202 222 238 256 298	-373167060180
STPT(12)	958588149405583511	0 2 36 38 48 50 78 80 90 92 126 128	-231047463290
STPT(10)	958588152896650091	0 2 6 8 48 50 90 92 96 98	-227556396710
SPT(16)	958588269407828911	0 10 36 40 42 52 60 66 166 172 180 190 192 196 222 232	-111045217890
SPT(16)	958588575322667867	0 6 30 32 54 86 116 140 186 210 240 272 294 296 320 326	194869621066
SPT(16)	958588578784800083	0 30 54 120 194 198 200 240 248 288 290 294 368 434 458 488	198331753282
STPT(10)	958588995351999467	0 2 30 32 42 44 54 56 84 86	614898952666
STPT(10)	958589016539751797	0 2 12 14 72 74 132 134 144 146	636086704996
TPT(14)	958589048962952441	0 2 150 152 156 158 180 182 270 272 348 350 390 392	668509905640