Prime p₀= 2538187417312629317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: RFGuy_KCCO
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2538186744362641831	0 28 46 82 96 118 132 138 160 166 180 202 216 252 270 298	-672949987486
STPT(10)	2538186819929310161	0 2 96 98 108 110 120 122 216 218	-597383319156
SPT(16)	2538186956857011011	0 32 48 60 80 90 110 116 132 138 158 168 188 200 216 248	-460455618306
STPT(10)	2538186959595249629	0 2 18 20 30 32 42 44 60 62	-457717379688
SPT(16)	2538187057085361697	0 54 82 94 100 124 136 156 190 210 222 246 252 264 292 346	-360227267620
STPT(10)	2538187155799124651	0 2 6 8 48 50 90 92 96 98	-261513504666
SPT(16)	2538187431791522759	0 48 54 122 138 140 150 164 198 212 222 224 240 308 314 362	14478893442
STPT(10)	2538187534314670499	0 2 18 20 30 32 42 44 60 62	117002041182
TPT(14)	2538187691257048097	0 2 42 44 54 56 114 116 120 122 150 152 222 224	273944418780
SPT(16)	2538187801799655139	0 28 72 138 148 162 180 228 274 322 340 354 364 430 474 502	384487025822
SPT(16)	2538188197600957877	0 20 30 56 66 84 104 114 122 132 152 170 180 206 216 236	780288328560