Prime p₀= 997723987999658807 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: GLeeM
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	997722152949668537	0 2 30 32 42 44 54 56 84 86	-1835049990270
SPT(16)	997722884552353571	0 6 8 50 56 68 120 138 170 188 240 252 258 300 302 308	-1103447305236
SPT(16)	997723074130394863	0 10 18 28 34 54 60 108 160 208 214 234 240 250 258 268	-913869263944
SPT(16)	997723092088117711	0 82 120 138 208 262 288 292 378 382 408 462 532 550 588 670	-895911541096
SPT(16)	997723306394429731	0 6 22 58 72 96 112 138 190 216 232 256 270 306 322 328	-681605229076
SPT(16)	997723659222426163	0 16 40 46 84 96 114 130 150 166 184 196 234 240 264 280	-328777232644
STPT(10)	997724117232598571	0 2 6 8 48 50 90 92 96 98	129232939764
STPT(10)	997724309464358261	0 2 36 38 78 80 120 122 156 158	321464699454
SPT(16)	997724534501756371	0 16 36 46 58 70 100 126 190 216 246 258 270 280 300 316	546502097564
STPT(10)	997724570444969501	0 2 36 38 78 80 120 122 156 158	582445310694
SPT(18)	997724603169046789	0 4 12 18 70 82 100 102 112 180 190 192 210 222 274 280 288 292	615169387982