Prime p₀= 1300564953447350609 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 30 24 4 2 36 18 16 18 36 2 4 24 30 14 (?)
a_n: 0 14 44 68 72 74 110 128 144 162 198 200 204 228 258 272
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: 272
Found by: gemini8
db: batch=77, k=16, 14 30 24 4 2 36 18 16

SPT(16)	1300563654864768863	0 38 50 108 140 174 186 216 218 248 260 294 326 384 396 434	-1298582581746
STPT(10)	1300563700900616147	0 2 30 32 72 74 114 116 144 146	-1252546734462
SPT(16)	1300564119766675171	0 22 28 52 88 100 126 148 150 172 198 210 246 270 276 298	-833680675438
STPT(10)	1300564170110907587	0 2 30 32 42 44 54 56 84 86	-783336443022
STPT(10)	1300564395801273431	0 2 6 8 48 50 90 92 96 98	-557646077178
STPT(10)	1300564913951786291	0 2 6 8 48 50 90 92 96 98	-39495564318
STPT(10)	1300565332328326157	0 2 30 32 60 62 90 92 120 122	378880975548
STPT(10)	1300565845092535907	0 2 54 56 72 74 90 92 144 146	891645185298
STPT(10)	1300566052484557277	0 2 12 14 42 44 72 74 84 86	1099037206668
SPT(16)	1300566473333219101	0 6 36 48 60 66 118 192 196 270 322 328 340 352 382 388	1519885868492
SPT(16)	1300566664009798147	0 6 22 46 72 76 84 144 172 232 240 244 270 294 310 316	1710562447538