Prime p₀= 2309656647113955901 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 36 24 18 12 10 26 34 26 10 12 18 24 36 12 (?)
a_n: 0 12 48 72 90 102 112 138 172 198 208 220 238 262 298 310
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: 310
Found by: FritzB
db: batch=81, k=16, 12 36 24 18 12 10 26 34

SPT(16)	2309654873767078003	0 46 70 166 180 258 294 360 364 430 466 544 558 654 678 724	-1773346877898
SPT(16)	2309654917164582731	0 6 32 42 60 66 80 86 162 168 182 188 206 216 242 248	-1729949373170
STPT(10)	2309655407345300867	0 2 30 32 72 74 114 116 144 146	-1239768655034
STPT(12)	2309655427175307089	0 2 30 32 102 104 168 170 240 242 270 272	-1219938648812
STPT(10)	2309655517373847449	0 2 78 80 120 122 162 164 240 242	-1129740108452
SPT(16)	2309655846378280963	0 6 24 28 76 78 96 120 124 148 166 168 216 220 238 244	-800735674938
SPT(16)	2309657000103453079	0 28 48 60 70 72 78 112 120 154 160 162 172 184 204 232	352989497178
SPT(16)	2309657039531933459	0 14 32 44 78 102 194 200 222 228 320 344 378 390 408 422	392417977558
STPT(10)	2309657258044273349	0 2 42 44 120 122 198 200 240 242	610930317448
TPT(14)	2309658296975779721	0 2 138 140 228 230 240 242 270 272 306 308 360 362	1649861823820
SPT(16)	2309658538081919987	0 30 44 56 72 92 134 176 210 252 294 314 330 342 356 386	1890967964086