Prime p₀= 2130739471018580171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 76 2 58 2

SPT(16)	2130737638093993163	0 6 20 30 96 140 144 186 254 296 300 344 410 420 434 440	-1832924587008
SPT(16)	2130737860594049081	0 8 42 50 62 90 92 128 270 306 308 336 348 356 390 398	-1610424531090
STPT(10)	2130738106124484641	0 2 36 38 78 80 120 122 156 158	-1364894095530
SPT(16)	2130738121600300111	0 16 58 78 82 96 100 126 142 168 172 186 190 210 252 268	-1349418280060
SPT(16)	2130738515779586809	0 18 22 64 82 120 130 132 160 162 172 210 228 270 274 292	-955238993362
STPT(10)	2130738537272896259	0 2 42 44 60 62 78 80 120 122	-933745683912
STPT(10)	2130739925627690747	0 2 30 32 42 44 54 56 84 86	454609110576
STPT(10)	2130740346575238449	0 2 18 20 30 32 42 44 60 62	875556658278
SPT(16)	2130740363031223337	0 14 50 92 104 144 162 182 234 254 272 312 324 366 402 416	892012643166
STPT(10)	2130740562662612447	0 2 30 32 42 44 54 56 84 86	1091644032276
SPT(16)	2130740720583439973	0 38 60 66 86 116 120 156 170 206 210 240 260 266 288 326	1249564859802