Prime p₀= 2301690385102772747 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 12 18 48 22 6 24 8 24 6 22 48 18 12 44 (?)
a_n: 0 44 56 74 122 144 150 174 182 206 212 234 282 300 312 356
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: 356
Found by: FritzB
db: batch=81, k=16, 44 12 18 48 22 6 24 8

SPT(16)	2301689182617956161	0 28 78 106 112 118 142 156 202 216 240 246 252 280 330 358	-1202484816586
SPT(16)	2301689365021684549	0 18 22 42 72 84 88 112 150 174 178 190 220 240 244 262	-1020081088198
STPT(10)	2301689377644573347	0 2 12 14 72 74 132 134 144 146	-1007458199400
SPT(18)	2301689423676326741	0 36 38 78 80 140 156 176 182 186 192 212 228 288 290 330 332 368	-961426446006
STPT(10)	2301689830867012679	0 2 42 44 60 62 78 80 120 122	-554235760068
SPT(16)	2301689893715542769	0 8 24 62 74 90 92 104 138 150 152 168 180 218 234 242	-491387229978
SPT(16)	2301690426641360633	0 104 116 126 134 138 264 270 344 350 476 480 488 498 510 614	41538587886
STPT(10)	2301690486843352901	0 2 6 8 18 20 30 32 36 38	101740580154
STPT(10)	2301690751731814841	0 2 156 158 168 170 180 182 336 338	366629042094
SPT(16)	2301691346822559707	0 32 44 54 92 114 140 144 152 156 182 204 242 252 264 296	961719786960
SPT(16)	2301691535610274499	0 30 32 38 54 90 194 200 222 228 332 368 384 390 392 422	1150507501752