Prime p₀= 1016505525017907257 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 62 124 38 16 2 18 6 34 6 18 2 16 38 124 62 (?)
a_n: 0 62 186 224 240 242 260 266 300 306 324 326 342 380 504 566
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: 566
Found by: gemini8
db: batch=76, k=16, 62 124 38 16 2 18 6 34

SPT(16)	1016504719977786569	0 24 80 84 110 138 164 180 248 264 290 318 344 348 404 428	-805040120688
STPT(10)	1016505103366012217	0 2 24 26 42 44 60 62 84 86	-421651895040
STPT(10)	1016505209000734889	0 2 18 20 60 62 102 104 120 122	-316017172368
SPT(16)	1016505375850992341	0 12 18 26 32 42 108 150 188 230 296 306 312 320 326 338	-149166914916
STPT(10)	1016505428473318517	0 2 24 26 42 44 60 62 84 86	-96544588740
TPT(14)	1016505501711190019	0 2 12 14 60 62 102 104 258 260 282 284 408 410	-23306717238
STPT(10)	1016505669454135769	0 2 18 20 30 32 42 44 60 62	144436228512
STPT(10)	1016506201512321407	0 2 24 26 42 44 60 62 84 86	676494414150
SPT(16)	1016506798888598341	0 48 90 100 106 120 136 142 246 252 268 282 288 298 340 388	1273870691084
STPT(10)	1016506943189308157	0 2 30 32 72 74 114 116 144 146	1418171400900
TPT(14)	1016507139663146447	0 2 24 26 30 32 84 86 120 122 162 164 180 182	1614645239190