Prime p₀= 1025502865597814707 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 6 10 30 2 10 56 16 56 10 2 30 10 6 6 (?)
a_n: 0 6 12 22 52 54 64 120 136 192 202 204 234 244 250 256
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: 256
Found by: HenkM
db: batch=76, k=16, 6 6 10 30 2 10 56 16

SPT(16)	1025502071241513221	0 30 32 98 108 110 116 156 182 222 228 230 240 306 308 338	-794356301486
STPT(10)	1025502114287339831	0 2 6 8 18 20 30 32 36 38	-751310474876
TPT(14)	1025502260564656361	0 2 48 50 126 128 180 182 186 188 216 218 300 302	-605033158346
STPT(10)	1025502293367676517	0 2 30 32 42 44 54 56 84 86	-572230138190
SPT(16)	1025502315908648873	0 36 66 78 114 176 204 240 344 380 408 470 506 518 548 584	-549689165834
TPT(14)	1025502337853679221	0 2 6 8 30 32 48 50 90 92 156 158 180 182	-527744135486
SPT(16)	1025502935577687871	0 22 42 58 76 96 162 166 192 196 262 282 300 316 336 358	69979873164
SPT(16)	1025502970638628997	0 6 56 62 86 102 132 144 182 194 224 240 264 270 320 326	105040814290
STPT(10)	1025503355013161909	0 2 42 44 150 152 258 260 300 302	489415347202
STPT(10)	1025503527224763281	0 2 30 32 78 80 126 128 156 158	661626948574
SPT(16)	1025503873892151229	0 72 78 148 184 198 228 274 318 364 394 408 444 514 520 592	1008294336522