Prime p₀= 1022825021729735767 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 34 8 24 28 2 6 22 6 2 28 24 8 34 30 (?)
a_n: 0 30 64 72 96 124 126 132 154 160 162 190 214 222 256 286
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: 286
Found by: stoneageman
db: batch=76, k=16, 30 34 8 24 28 2 6 22

SPT(16)	1022824200098674297	0 4 36 60 64 70 90 162 184 256 276 282 286 310 342 346	-821631061470
STPT(10)	1022824391814447659	0 2 48 50 90 92 132 134 180 182	-629915288108
STPT(10)	1022824452105120059	0 2 48 50 90 92 132 134 180 182	-569624615708
SPT(16)	1022824670624600399	0 30 92 108 140 150 162 182 240 260 272 282 314 330 392 422	-351105135368
STPT(10)	1022824789148380319	0 2 48 50 90 92 132 134 180 182	-232581355448
STPT(12)	1022824926213664589	0 2 12 14 42 44 78 80 108 110 120 122	-95516071178
SPT(16)	1022825060060029537	0 12 22 36 42 76 84 190 306 412 420 454 460 474 484 496	38330293770
SPT(16)	1022825203655613619	0 18 30 52 100 120 144 178 204 238 262 282 330 352 364 382	181925877852
SPT(16)	1022825736504200371	0 28 30 40 136 178 196 198 208 210 228 270 366 376 378 406	714774464604
SPT(16)	1022825972250184573	0 18 48 60 70 106 126 130 216 220 240 276 286 298 328 346	950520448806
STPT(10)	1022826025609750001	0 2 6 8 48 50 90 92 96 98	1003880014234