Prime p₀= 2034830877298609589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Dingo
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2034828671915631331	0 18 28 42 82 108 132 138 160 166 190 216 256 270 280 298	-2205382978258
SPT(20)	2034828982872406117	0 24 40 46 102 106 130 144 196 222 244 270 322 336 360 364 420 426 442 466	-1894426203472
STPT(10)	2034829040948123879	0 2 18 20 30 32 42 44 60 62	-1836350485710
STPT(10)	2034830089501280189	0 2 18 20 30 32 42 44 60 62	-787797329400
SPT(16)	2034830186873778757	0 22 36 52 64 72 106 126 130 150 184 192 204 220 234 256	-690424830832
STPT(10)	2034830744288301899	0 2 42 44 120 122 198 200 240 242	-133010307690
SPT(16)	2034830891884070347	0 90 114 126 144 156 174 196 330 352 370 382 400 412 436 526	14585460758
SPT(16)	2034830905198288051	0 78 88 106 130 166 178 196 222 240 252 288 312 330 340 418	27899678462
STPT(10)	2034831091587550379	0 2 12 14 30 32 48 50 60 62	214288940790
SPT(16)	2034831144304526287	0 12 46 52 66 96 150 154 252 256 310 340 354 360 394 406	267005916698
STPT(10)	2034831782885166437	0 2 30 32 42 44 54 56 84 86	905586556848