Prime p₀= 568823603265802583 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 6 42 20 54 10 14 10 54 20 42 6 18 (?)
a_n: 0 18 24 66 86 140 150 164 174 228 248 290 296 314
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: 314
Found by: engiefox
db: batch=71, k=14, 18 6 42 20 54 10 14

SPT(14)	568823529543342859	0 34 60 78 88 90 100 132 142 144 154 172 198 232	-73722459724
SPT(14)	568823552967441883	0 30 34 100 150 154 160 174 180 184 234 300 304 334	-50298360700
SPT(14)	568823576149159489	0 4 12 22 28 54 64 78 88 114 120 130 138 142	-27116643094
SPT(14)	568823581760243609	0 30 90 128 132 140 158 174 192 200 204 242 302 332	-21505558974
TPT(12)	568823583125831939	0 2 48 50 78 80 120 122 180 182 300 302	-20139970644
TPT(12)	568823589720479747	0 2 84 86 90 92 120 122 162 164 174 176	-13545322836
SPT(14)	568823626039379261	0 6 18 50 56 62 68 90 96 102 108 140 152 158	22773576678
SPT(14)	568823654576806463	0 24 44 50 66 80 84 86 90 104 120 126 146 170	51311003880
SPT(14)	568823674077779137	0 30 54 64 72 94 114 190 210 232 240 250 274 304	70811976554
SPT(14)	568823693314865539	0 124 132 162 178 180 192 220 232 234 250 280 288 412	90049062956
STPT(10)	568823705691265901	0 2 30 32 60 62 90 92 120 122	102425463318