Prime p₀= 1300563654864768863 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 12 58 32 34 12 30 2 30 12 34 32 58 12 38 (?)
a_n: 0 38 50 108 140 174 186 216 218 248 260 294 326 384 396 434
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: 434
Found by: HenkM
db: batch=77, k=16, 38 12 58 32 34 12 30 2

SPT(16)	1300562748104639111	0 50 56 60 66 80 92 96 182 186 198 212 218 222 228 278	-906760129752
STPT(10)	1300562794103037131	0 2 6 8 18 20 30 32 36 38	-860761731732
SPT(16)	1300562838166668653	0 38 48 80 90 114 126 210 254 338 350 374 384 416 426 464	-816698100210
STPT(12)	1300563456949751117	0 2 30 32 144 146 210 212 324 326 354 356	-197915017746
SPT(16)	1300563557047642553	0 26 78 116 120 138 158 164 240 246 266 284 288 326 378 404	-97817126310
STPT(10)	1300563570192903629	0 2 18 20 30 32 42 44 60 62	-84671865234
STPT(10)	1300563700900616147	0 2 30 32 72 74 114 116 144 146	46035847284
SPT(16)	1300564119766675171	0 22 28 52 88 100 126 148 150 172 198 210 246 270 276 298	464901906308
STPT(10)	1300564170110907587	0 2 30 32 42 44 54 56 84 86	515246138724
STPT(10)	1300564395801273431	0 2 6 8 48 50 90 92 96 98	740936504568
STPT(10)	1300564913951786291	0 2 6 8 48 50 90 92 96 98	1259087017428