Prime p₀= 578326521005724731 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 12 6 30 12 38 6 4 6 38 12 30 6 12 18 (?)
a_n: 0 18 30 36 66 78 116 122 126 132 170 182 212 218 230 248
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: 248
Found by: Tomáš Brada
db: batch=58, k=16, 18 12 6 30 12 38 6 4

SPT(14)	578326476043950383	0 14 24 38 78 80 84 164 168 170 210 224 234 248	-44961774348
SPT(14)	578326476976829369	0 8 42 54 90 104 174 188 258 272 308 320 354 362	-44028895362
SPT(14)	578326480134690961	0 36 70 90 100 112 172 270 330 342 352 372 406 442	-40871033770
SPT(14)	578326483393025399	0 8 42 44 74 92 102 110 120 138 168 170 204 212	-37612699332
SPT(14)	578326501655307919	0 10 48 54 78 82 112 120 150 154 178 184 222 232	-19350416812
SPT(14)	578326505854602653	0 14 38 44 54 74 96 98 120 140 150 156 180 194	-15151122078
SPT(14)	578326549859399779	0 22 72 118 132 142 148 174 180 190 204 250 300 322	28853675048
SPT(14)	578326566732009317	0 26 32 36 54 80 84 92 96 122 140 144 150 176	45726284586
SPT(16)	578326568468767939	0 28 42 52 60 90 100 108 112 120 130 160 168 178 192 220	47463043208
SPT(14)	578326575280725833	0 30 66 80 90 126 200 366 440 476 486 500 536 566	54275001102
SPT(14)	578326587603909203	0 8 14 20 30 36 56 78 98 104 114 120 126 134	66598184472