Prime p₀= 974544379638173021 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 26 12 36 10 12 2 28 2 12 10 36 12 26 42 (?)
a_n: 0 42 68 80 116 126 138 140 168 170 182 192 228 240 266 308
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: 308
Found by: HenkM
db: batch=76, k=16, 42 26 12 36 10 12 2 28

SPT(16)	974543203496252729	0 20 42 72 78 108 122 128 132 138 152 182 188 218 240 260	-1176141920292
SPT(16)	974543243073226861	0 16 28 48 52 72 88 108 220 240 256 276 280 300 312 328	-1136564946160
SPT(16)	974543401808503229	0 50 98 132 140 204 222 234 278 290 308 372 380 414 462 512	-977829669792
SPT(16)	974543557513100923	0 24 60 64 66 106 204 210 424 430 528 568 570 574 610 634	-822125072098
SPT(16)	974544007702525679	0 30 80 144 150 174 188 200 222 234 248 272 278 342 392 422	-371935647342
SPT(16)	974544126615997537	0 4 10 36 52 150 190 202 204 216 256 354 370 396 402 406	-253022175484
SPT(16)	974544542515879739	0 18 32 42 48 50 78 84 98 104 132 134 140 150 164 182	162877706718
STPT(10)	974544915699917447	0 2 12 14 72 74 132 134 144 146	536061744426
TPT(14)	974544974541502457	0 2 30 32 60 62 90 92 144 146 174 176 210 212	594903329436
STPT(10)	974545017537341177	0 2 42 44 72 74 102 104 144 146	637899168156
SPT(16)	974545033077384469	0 24 30 120 130 142 150 154 180 184 192 204 214 304 310 334	653439211448