Prime p₀= 2309331938065991687 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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(18)	2309330643882988097	0 50 56 86 110 140 144 152 164 282 294 302 306 336 360 390 396 446	-1294183003590
SPT(16)	2309330669683248361	0 12 16 82 90 96 100 112 126 138 142 148 156 222 226 238	-1268382743326
SPT(16)	2309331458897555749	0 4 10 60 88 90 118 130 138 150 178 180 208 258 264 268	-479168435938
SPT(16)	2309331669457460603	0 14 26 30 44 50 54 60 170 176 180 186 200 204 216 230	-268608531084
STPT(10)	2309331840916806491	0 2 36 38 78 80 120 122 156 158	-97149185196
SPT(16)	2309331899488298719	0 12 24 34 90 94 102 124 138 160 168 172 228 238 250 262	-38577692968
STPT(10)	2309332363426924679	0 2 18 20 30 32 42 44 60 62	425360932992
STPT(10)	2309332516549747259	0 2 18 20 30 32 42 44 60 62	578483755572
STPT(10)	2309332621508992967	0 2 24 26 42 44 60 62 84 86	683443001280
STPT(10)	2309332801597263287	0 2 24 26 42 44 60 62 84 86	863531271600
STPT(10)	2309333173139969609	0 2 42 44 90 92 138 140 180 182	1235073977922