Prime p₀= 965975003047365341 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: Conan
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	965973812791880953	0 16 30 40 106 156 190 240 256 306 340 390 456 466 480 496	-1190255484388
SPT(18)	965973989584642343	0 30 54 56 96 104 204 210 216 218 224 230 330 338 378 380 404 434	-1013462722998
STPT(10)	965974339961400821	0 2 6 8 18 20 30 32 36 38	-663085964520
SPT(16)	965974445662588057	0 22 76 90 150 160 166 180 232 246 252 262 322 336 390 412	-557384777284
STPT(10)	965974646356988309	0 2 18 20 30 32 42 44 60 62	-356690377032
SPT(16)	965974865476338007	0 6 30 54 180 210 240 252 274 286 316 346 472 496 520 526	-137571027334
SPT(16)	965975141334415829	0 8 30 50 60 74 80 108 134 162 168 182 192 212 234 242	138287050488
STPT(10)	965975236052103371	0 2 6 8 48 50 90 92 96 98	233004738030
SPT(20)	965975377561521031	0 22 82 90 112 222 232 256 298 316 402 420 462 486 496 606 628 636 696 718	374514155690
STPT(10)	965976007450199477	0 2 30 32 42 44 54 56 84 86	1004402834136
SPT(13)	965976217008435701	0 60 78 90 120 150 168 186 216 246 258 276 336	1213961070360