Prime p₀= 2130738537272896259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2130737537491321393	0 48 64 76 94 96 120 144 280 304 328 330 348 360 376 424	-999781574866
SPT(16)	2130737638093993163	0 6 20 30 96 140 144 186 254 296 300 344 410 420 434 440	-899178903096
SPT(16)	2130737860594049081	0 8 42 50 62 90 92 128 270 306 308 336 348 356 390 398	-676678847178
STPT(10)	2130738106124484641	0 2 36 38 78 80 120 122 156 158	-431148411618
SPT(16)	2130738121600300111	0 16 58 78 82 96 100 126 142 168 172 186 190 210 252 268	-415672596148
SPT(16)	2130738515779586809	0 18 22 64 82 120 130 132 160 162 172 210 228 270 274 292	-21493309450
STPT(10)	2130739471018580171	0 2 78 80 138 140 198 200 276 278	933745683912
STPT(10)	2130739925627690747	0 2 30 32 42 44 54 56 84 86	1388354794488
STPT(10)	2130740346575238449	0 2 18 20 30 32 42 44 60 62	1809302342190
SPT(16)	2130740363031223337	0 14 50 92 104 144 162 182 234 254 272 312 324 366 402 416	1825758327078
STPT(10)	2130740562662612447	0 2 30 32 42 44 54 56 84 86	2025389716188