Prime p₀= 2731521158148583637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2731519287294938417	0 30 104 120 144 182 210 254 270 314 342 380 404 420 494 524	-1870853645220
STPT(10)	2731520337880659737	0 2 24 26 42 44 60 62 84 86	-820267923900
SPT(16)	2731520738481349279	0 10 24 28 48 70 90 100 192 202 222 244 264 268 282 292	-419667234358
STPT(12)	2731520791023223037	0 2 12 14 54 56 60 62 102 104 114 116	-367125360600
STPT(10)	2731520832985369427	0 2 30 32 72 74 114 116 144 146	-325163214210
STPT(10)	2731521081800083997	0 2 54 56 72 74 90 92 144 146	-76348499640
SPT(16)	2731521507369117371	0 12 20 38 56 98 150 188 270 308 360 402 420 438 446 458	349220533734
TPT(14)	2731521662042896181	0 2 18 20 30 32 90 92 96 98 198 200 336 338	503894312544
SPT(16)	2731521972530900359	0 40 48 54 70 72 90 132 160 202 220 222 238 244 252 292	814382316722
SPT(16)	2731522099073459873	0 20 26 30 44 48 86 108 146 168 206 210 224 228 234 254	940924876236
STPT(10)	2731522373317998059	0 2 48 50 60 62 72 74 120 122	1215169414422