Prime p₀= 2261503540841139767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2261502026477222461	0 6 28 66 76 78 88 106 240 258 268 270 280 318 340 346	-1514363917306
SPT(16)	2261502361402861081	0 16 22 30 40 60 66 72 136 142 148 168 178 186 192 208	-1179438278686
SPT(16)	2261502526155934609	0 28 34 78 94 100 114 120 142 148 162 168 184 228 234 262	-1014685205158
SPT(16)	2261502603723484049	0 14 24 42 80 84 134 144 158 168 218 222 260 278 288 302	-937117655718
SPT(16)	2261502742404065267	0 44 60 66 84 122 132 186 380 434 444 482 500 506 522 566	-798437074500
STPT(10)	2261503091582220557	0 2 30 32 42 44 54 56 84 86	-449258919210
SPT(16)	2261503711768966939	0 58 112 120 130 162 198 214 288 304 340 372 382 390 444 502	170927827172
SPT(16)	2261504512567833077	0 2 24 44 80 84 102 146 150 194 212 216 252 272 294 296	971726693310
SPT(16)	2261505390764186933	0 6 56 116 126 156 158 168 188 198 200 230 240 300 350 356	1849923047166
STPT(10)	2261505449171455997	0 2 42 44 72 74 102 104 144 146	1908330316230
STPT(10)	2261505692176696781	0 2 6 8 48 50 90 92 96 98	2151335557014