Prime p₀= 764269026701546867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: [SG]steini
db: batch=73, k=10, 2 10 2 58 2

SPT(16)	764268239317879369	0 22 40 42 72 90 112 120 160 168 190 208 238 240 258 280	-787383667498
SPT(16)	764268473044736983	0 4 10 70 78 114 126 154 180 208 220 256 264 324 330 334	-553656809884
SPT(16)	764268668952931243	0 36 40 54 66 70 90 118 156 184 204 208 220 234 238 274	-357748615624
SPT(16)	764268715846582657	0 42 72 102 120 144 174 216 310 352 382 406 424 454 484 526	-310854964210
STPT(10)	764268763442274047	0 2 60 62 72 74 84 86 144 146	-263259272820
TPT(14)	764268965495460167	0 2 30 32 84 86 120 122 222 224 240 242 264 266	-61206086700
STPT(10)	764269193958334457	0 2 30 32 42 44 54 56 84 86	167256787590
SPT(16)	764269287505390781	0 8 20 36 50 56 66 80 228 242 252 258 272 288 300 308	260803843914
STPT(10)	764269330599996491	0 2 6 8 48 50 90 92 96 98	303898449624
STPT(10)	764269500855486719	0 2 18 20 30 32 42 44 60 62	474153939852
SPT(20)	764269752253298131	0 66 70 88 96 120 136 142 172 208 210 246 276 282 298 322 330 348 352 418	725551751264