Prime p₀= 2016271105661950661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 148 2 148 2 16 2 (?)
a_n: 0 2 18 20 168 170 318 320 336 338
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: 338
Found by: Dingo
db: batch=80, k=10, 2 16 2 148 2

SPT(16)	2016270240510716881	0 6 12 48 78 82 108 126 202 220 246 250 280 316 322 328	-865151233780
SPT(16)	2016270365254757503	0 48 64 66 78 84 94 108 136 150 160 166 178 180 196 244	-740407193158
STPT(10)	2016270584119642679	0 2 48 50 90 92 132 134 180 182	-521542307982
SPT(16)	2016270645777101377	0 16 24 52 94 96 144 184 222 262 310 312 354 382 390 406	-459884849284
SPT(13)	2016270849304339231	0 6 36 90 120 132 186 240 252 282 336 366 372	-256357611430
SPT(16)	2016270860328514547	0 14 86 92 116 186 206 212 324 330 350 420 444 450 522 536	-245333436114
SPT(16)	2016271127485972657	0 24 40 46 70 100 102 112 114 124 126 156 180 186 202 226	21824021996
STPT(10)	2016271226537787407	0 2 24 26 42 44 60 62 84 86	120875836746
SPT(16)	2016271267515142271	0 2 56 60 90 98 126 188 210 272 300 308 338 342 396 398	161853191610
SPT(16)	2016271287545216657	0 14 60 90 104 116 120 200 270 350 354 366 380 410 456 470	181883265996
TPT(14)	2016271885665637679	0 2 60 62 102 104 162 164 252 254 258 260 312 314	780003687018