Prime p₀= 2625986017093626853 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 60 14 112 20 36 4 104 4 36 20 112 14 60 4 (?)
a_n: 0 4 64 78 190 210 246 250 354 358 394 414 526 540 600 604
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: 604
Found by: JayPi
db: batch=82, k=16, 4 60 14 112 20 36 4 104

SPT(16)	2625983862543993827	0 42 44 72 120 122 126 144 182 200 204 206 254 282 284 326	-2154549633026
STPT(10)	2625983910158584499	0 2 18 20 30 32 42 44 60 62	-2106935042354
STPT(10)	2625984492169001387	0 2 54 56 72 74 90 92 144 146	-1524924625466
STPT(10)	2625984512095241621	0 2 30 32 78 80 126 128 156 158	-1504998385232
SPT(16)	2625984692676711029	0 24 42 74 80 104 164 210 254 300 360 384 390 422 440 464	-1324416915824
STPT(10)	2625985605604932029	0 2 18 20 30 32 42 44 60 62	-411488694824
STPT(10)	2625986020775873057	0 2 30 32 42 44 54 56 84 86	3682246204
SPT(16)	2625986083405779461	0 20 56 68 90 96 122 132 146 156 182 188 210 222 258 278	66312152608
SPT(16)	2625986139484940047	0 4 34 40 54 60 100 102 184 186 226 232 246 252 282 286	122391313194
STPT(10)	2625986630154303641	0 2 36 38 78 80 120 122 156 158	613060676788
SPT(16)	2625986799029692649	0 14 78 122 192 204 210 234 248 272 278 290 360 404 468 482	781936065796