Prime p₀= 262915131622155317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: desktop64
db: batch=69, k=10, 2 28 2 10 2

TPT(12)	262915077700826519	0 2 78 80 132 134 150 152 168 170 222 224	-53921328798
STPT(10)	262915077700826597	0 2 54 56 72 74 90 92 144 146	-53921328720
TPT(12)	262915078449188327	0 2 30 32 114 116 120 122 204 206 264 266	-53172966990
TPT(12)	262915117853570057	0 2 30 32 54 56 120 122 192 194 210 212	-13768585260
SPT(14)	262915123450292083	0 4 18 30 40 46 66 88 108 114 124 136 150 154	-8171863234
SPT(14)	262915124862199517	0 2 32 92 116 134 140 156 162 180 204 264 294 296	-6759955800
SPT(14)	262915133304068519	0 8 68 74 92 110 140 222 252 270 288 294 354 362	1681913202
STPT(10)	262915164106106399	0 2 18 20 30 32 42 44 60 62	32483951082
SPT(16)	262915168117702781	0 38 48 66 98 140 146 168 170 192 198 240 272 290 300 338	36495547464
SPT(14)	262915181029905167	0 2 12 14 32 80 122 144 186 234 252 254 264 266	49407749850
SPT(14)	262915198039770329	0 20 32 42 44 92 144 158 210 258 260 270 282 302	66417615012