Prime p₀= 1021132263016470443 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 30 14 30 10 8 10 2 10 8 10 30 14 30 24 (?)
a_n: 0 24 54 68 98 108 116 126 128 138 146 156 186 200 230 254
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: 254
Found by: stoneageman
db: batch=76, k=16, 24 30 14 30 10 8 10 2

SPT(16)	1021131112333809013	0 4 10 28 94 106 108 124 150 166 168 180 246 264 270 274	-1150682661430
SPT(16)	1021131249182767747	0 6 10 24 70 84 90 100 126 136 142 156 202 216 220 226	-1013833702696
SPT(16)	1021131305258570533	0 10 34 60 76 100 114 124 186 196 210 234 250 276 300 310	-957757899910
SPT(16)	1021131347406326083	0 76 144 168 198 214 228 240 244 256 270 286 316 340 408 484	-915610144360
SPT(16)	1021131561220898671	0 36 46 60 120 246 286 330 388 432 472 598 658 672 682 718	-701795571772
SPT(16)	1021131803763257779	0 48 84 112 118 124 160 214 258 312 348 354 360 388 424 472	-459253212664
SPT(16)	1021132312518290341	0 10 12 42 52 88 96 118 180 202 210 246 256 286 288 298	49501819898
STPT(10)	1021132537066343027	0 2 30 32 42 44 54 56 84 86	274049872584
SPT(16)	1021132760862244279	0 22 72 90 120 132 174 190 222 238 280 292 322 340 390 412	497845773836
STPT(10)	1021132881140923919	0 2 18 20 30 32 42 44 60 62	618124453476
STPT(10)	1021132988674684967	0 2 12 14 72 74 132 134 144 146	725658214524