Prime p₀= 2581340639421589601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: JayPi
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2581339732628026841	0 8 30 42 108 132 158 186 272 300 326 350 416 428 450 458	-906793562760
STPT(10)	2581339911893926361	0 2 6 8 48 50 90 92 96 98	-727527663240
SPT(16)	2581339979778187619	0 14 38 54 60 68 80 90 158 168 180 188 194 210 234 248	-659643401982
SPT(16)	2581340257513697357	0 14 66 84 104 110 132 144 152 164 186 192 212 230 282 296	-381907892244
STPT(10)	2581340395638786557	0 2 12 14 42 44 72 74 84 86	-243782803044
STPT(10)	2581340459598498779	0 2 60 62 210 212 360 362 420 422	-179823090822
STPT(10)	2581340882881309691	0 2 6 8 18 20 30 32 36 38	243459720090
SPT(16)	2581341067300765697	0 2 6 26 42 44 54 72 74 92 102 104 120 140 144 146	427879176096
SPT(16)	2581341096809313361	0 22 66 78 102 106 108 118 120 130 132 136 160 172 216 238	457387723760
SPT(16)	2581341098879739451	0 12 22 82 120 132 138 180 190 232 238 250 288 348 358 370	459458149850
SPT(18)	2581341150019038007	0 24 34 84 90 94 100 130 132 262 264 294 300 304 310 360 370 394	510597448406