Prime p₀= 2221645336503773027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Rantanplan
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2221644128463916487	0 56 90 92 102 174 182 200 216 234 242 314 324 326 360 416	-1208039856540
STPT(10)	2221644129687192011	0 2 6 8 48 50 90 92 96 98	-1206816581016
STPT(12)	2221644379784242247	0 2 30 32 42 44 90 92 102 104 132 134	-956719530780
SPT(16)	2221644380250308911	0 6 28 52 76 108 112 118 120 126 130 162 186 210 232 238	-956253464116
SPT(16)	2221644984536720711	0 12 26 38 42 48 50 80 138 168 170 176 180 192 206 218	-351967052316
SPT(16)	2221645179007796063	0 8 36 54 68 84 98 110 114 126 140 156 170 188 216 224	-157495976964
STPT(10)	2221645445498555771	0 2 30 32 60 62 90 92 120 122	108994782744
SPT(16)	2221645518560449727	0 36 42 56 62 116 146 174 272 300 330 384 390 404 410 446	182056676700
STPT(10)	2221645638909302141	0 2 6 8 48 50 90 92 96 98	302405529114
STPT(10)	2221645732944416039	0 2 18 20 30 32 42 44 60 62	396440643012
TPT(14)	2221645764253021151	0 2 78 80 138 140 168 170 180 182 276 278 288 290	427749248124