Prime p₀= 644999844054673 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 46 18 2 34 6 20 52 20 6 34 2 18 46 (?)
a_n: 0 46 64 66 100 106 126 178 198 204 238 240 258 304
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: 304
Found by: amazing
db: batch=60, k=14, 46 18 2 34 6 20 52

SPT(14)	644956964655587	0 2 24 84 86 104 110 126 132 150 152 212 234 236	-42879399086
STPT(10)	644961483837491	0 2 6 8 18 20 30 32 36 38	-38360217182
SPT(14)	644972475219451	0 10 46 60 82 96 112 126 142 156 178 192 228 238	-27368835222
SPT(14)	644980698086603	0 30 50 74 86 110 116 198 204 228 240 264 284 314	-19145968070
TPT(12)	644991048346571	0 2 66 68 78 80 120 122 180 182 300 302	-8795708102
SPT(14)	644995264469651	0 12 36 78 90 132 138 140 146 188 200 242 266 278	-4579585022
SPT(14)	645001714762747	0 40 46 52 82 84 94 102 112 114 144 150 156 196	1870708074
SPT(14)	645008914748243	0 6 24 26 48 108 146 168 206 266 288 290 308 314	9070693570
SPT(14)	645013998687623	0 24 36 56 90 104 108 116 120 134 168 188 200 224	14154632950
SPT(14)	645031489280767	0 36 46 72 102 106 112 114 120 124 154 180 190 226	31645226094
SPT(16)	645033757772779	0 30 58 70 72 84 118 160 222 264 298 310 312 324 352 382	33913718106