Prime p₀= 2150506283299563359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Xenon
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2150504983299637087	0 6 16 84 90 162 180 184 222 226 244 316 322 390 400 406	-1299999926272
STPT(10)	2150505020875744199	0 2 42 44 60 62 78 80 120 122	-1262423819160
STPT(10)	2150505133578357839	0 2 48 50 90 92 132 134 180 182	-1149721205520
SPT(16)	2150505578899977347	0 2 12 66 74 86 104 116 180 192 210 222 230 284 294 296	-704399586012
STPT(10)	2150505896435516309	0 2 18 20 30 32 42 44 60 62	-386864047050
SPT(16)	2150506169488821541	0 28 42 82 132 160 168 178 210 220 228 256 306 346 360 388	-113810741818
SPT(16)	2150506301959301527	0 16 22 30 82 112 120 156 160 196 204 234 286 294 300 316	18659738168
TPT(14)	2150506457978959037	0 2 12 14 150 152 192 194 222 224 240 242 282 284	174679395678
STPT(10)	2150506633945634579	0 2 18 20 30 32 42 44 60 62	350646071220
STPT(10)	2150507099798559947	0 2 30 32 42 44 54 56 84 86	816498996588
SPT(16)	2150507456768291273	0 14 56 74 86 108 126 156 158 188 206 228 240 258 300 314	1173468727914