Prime p₀= 2638822695652523 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 6 24 2 30 10 44 10 30 2 24 6 18 (?)
a_n: 0 18 24 48 50 80 90 134 144 174 176 200 206 224
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: 224
Found by: crashtech
db: batch=61, k=14, 18 6 24 2 30 10 44

SPT(14)	2638782208194469	0 10 28 30 60 64 102 190 228 232 262 264 282 292	-40487458054
SPT(14)	2638784352798073	0 16 28 58 78 88 96 130 138 148 168 198 210 226	-38342854450
SPT(14)	2638786912494787	0 4 6 52 60 66 82 174 190 196 204 250 252 256	-35783157736
SPT(14)	2638796992486087	0 6 12 72 94 96 102 124 130 132 154 214 220 226	-25703166436
SPT(14)	2638812550062991	0 12 18 46 66 100 102 106 108 142 162 190 196 208	-10145589532
SPT(14)	2638814493717797	0 26 42 66 72 80 84 92 96 104 110 134 150 176	-8201934726
TPT(12)	2638825207239839	0 2 48 50 78 80 90 92 102 104 198 200	2511587316
SPT(14)	2638840071578569	0 22 24 28 48 60 78 94 112 124 144 148 150 172	17375926046
TPT(12)	2638842178618691	0 2 6 8 36 38 48 50 90 92 138 140	19482966168
SPT(14)	2638848555896221	0 42 58 60 100 126 138 160 172 198 238 240 256 298	25860243698
TPT(12)	2638850128705277	0 2 12 14 42 44 60 62 102 104 132 134	27433052754