Prime p₀= 1079718386585818723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 2 4 20 6 10 26 22 26 10 6 20 4 2 58 (?)
a_n: 0 58 60 64 84 90 100 126 148 174 184 190 210 214 216 274
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: 274
Found by: UBT - Timbo
db: batch=76, k=16, 58 2 4 20 6 10 26 22

SPT(16)	1079717227454088679	0 22 42 52 84 88 102 108 124 130 144 148 180 190 210 232	-1159131730044
SPT(16)	1079717259672010111	0 10 22 36 42 48 76 78 250 252 280 286 292 306 318 328	-1126913808612
STPT(12)	1079717278175308271	0 2 48 50 78 80 90 92 120 122 168 170	-1108410510452
SPT(16)	1079717471603657951	0 38 50 78 116 126 150 182 186 218 242 252 290 318 330 368	-914982160772
SPT(16)	1079718100211017963	0 40 66 78 100 124 148 150 154 156 180 204 226 238 264 304	-286374800760
SPT(16)	1079718340183491997	0 4 22 52 60 72 84 106 150 172 184 196 204 234 252 256	-46402326726
STPT(10)	1079718488111670107	0 2 30 32 42 44 54 56 84 86	101525851384
STPT(10)	1079718495074405279	0 2 18 20 30 32 42 44 60 62	108488586556
SPT(16)	1079718517518909761	0 38 62 132 146 152 198 230 258 290 336 342 356 426 450 488	130933091038
TPT(14)	1079718535556949941	0 2 6 8 90 92 186 188 210 212 240 242 246 248	148971131218
STPT(10)	1079718578006857697	0 2 30 32 42 44 54 56 84 86	191421038974