Prime p₀= 4506161177673956249 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 46 42 36 12 8 12 22 12 8 12 36 42 46 14 (?)
a_n: 0 14 60 102 138 150 158 170 192 204 212 224 260 302 348 362
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: 362
Found by: Stony666
db: batch=85, k=16, 14 46 42 36 12 8 12 22

SPT(16)	4506158494831538533	0 28 66 70 88 108 154 184 240 270 316 336 354 358 396 424	-2682842417716
STPT(10)	4506158591245158047	0 2 54 56 72 74 90 92 144 146	-2586428798202
SPT(16)	4506158601626911589	0 42 62 104 132 150 164 180 332 348 362 380 408 450 470 512	-2576047044660
STPT(10)	4506159120977530139	0 2 12 14 30 32 48 50 60 62	-2056696426110
STPT(10)	4506159868689683297	0 2 30 32 60 62 90 92 120 122	-1308984272952
STPT(10)	4506160178609767157	0 2 30 32 42 44 54 56 84 86	-999064189092
SPT(16)	4506162198573638041	0 22 36 48 160 162 178 190 258 270 286 288 400 412 426 448	1020899681792
SPT(16)	4506162336491999627	0 6 12 30 42 54 72 80 96 104 122 134 146 164 170 176	1158818043378
STPT(12)	4506162345277079057	0 2 30 32 42 44 72 74 84 86 114 116	1167603122808
SPT(16)	4506162508869159793	0 28 40 54 154 156 168 208 246 286 298 300 400 414 426 454	1331195203544
STPT(12)	4506162890410625219	0 2 42 44 72 74 150 152 180 182 222 224	1712736668970