Prime p₀= 2131067027074771571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: arkiss
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2131066161676285349	0 42 50 54 102 110 284 300 314 330 504 512 560 564 572 614	-865398486222
STPT(10)	2131066197747210509	0 2 78 80 120 122 162 164 240 242	-829327561062
SPT(16)	2131066524172984217	0 30 42 54 114 152 164 182 264 282 294 332 392 404 416 446	-502901787354
STPT(10)	2131066665024675977	0 2 30 32 42 44 54 56 84 86	-362050095594
TPT(14)	2131066823864341499	0 2 132 134 162 164 168 170 210 212 342 344 360 362	-203210430072
STPT(10)	2131066906007323979	0 2 30 32 60 62 90 92 120 122	-121067447592
STPT(10)	2131067608321828619	0 2 42 44 60 62 78 80 120 122	581247057048
SPT(16)	2131067647875448823	0 6 38 56 66 144 146 156 158 168 170 248 258 276 308 314	620800677252
SPT(16)	2131067839115276909	0 80 102 108 128 150 168 182 210 224 242 264 284 290 312 392	812040505338
TPT(14)	2131067959959479069	0 2 12 14 18 20 42 44 102 104 168 170 240 242	932884707498
STPT(12)	2131068192758722169	0 2 12 14 42 44 78 80 108 110 120 122	1165683950598