Prime p₀= 12175542205293629 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 6 12 4 54 30 26 30 54 4 12 6 32 (?)
a_n: 0 32 38 50 54 108 138 164 194 248 252 264 270 302
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: 302
Found by: crashtech
db: batch=62, k=14, 32 6 12 4 54 30 26

SPT(16)	12175473044232853	0 6 40 64 70 76 78 94 120 136 138 144 150 174 208 214	-69161060776
SPT(14)	12175473800678917	0 10 42 46 72 82 84 112 114 124 150 154 186 196	-68404614712
SPT(14)	12175504947737641	0 6 16 72 82 90 100 168 178 186 196 252 262 268	-37257555988
SPT(14)	12175511595436349	0 20 32 84 110 132 164 168 200 222 248 300 312 332	-30609857280
SPT(14)	12175535205958249	0 4 42 82 94 102 114 208 220 228 240 280 318 322	-6999335380
SPT(14)	12175539061047361	0 10 28 30 70 76 112 156 192 198 238 240 258 268	-3144246268
SPT(14)	12175549713608219	0 8 12 42 54 60 68 144 152 158 170 200 204 212	7508314590
STPT(10)	12175553901735797	0 2 24 26 42 44 60 62 84 86	11696442168
SPT(14)	12175555283741851	0 16 22 28 40 42 72 106 136 138 150 156 162 178	13078448222
TPT(12)	12175556582114741	0 2 30 32 48 50 60 62 90 92 96 98	14376821112
SPT(14)	12175561283581063	0 4 18 30 40 90 96 118 124 174 184 196 210 214	19078287434