Prime p₀= 1025466631370740589 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: HenkM
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1025464999084456949	0 2 12 18 44 50 90 120 152 182 222 228 254 260 270 272	-1632286283640
STPT(12)	1025465344276343879	0 2 30 32 102 104 138 140 210 212 240 242	-1287094396710
SPT(16)	1025465623759468831	0 18 36 46 58 70 108 142 246 280 318 330 342 352 370 388	-1007611271758
STPT(10)	1025465842939449551	0 2 6 8 48 50 90 92 96 98	-788431291038
STPT(10)	1025465945857591097	0 2 30 32 72 74 114 116 144 146	-685513149492
SPT(16)	1025466279639704761	0 18 28 46 52 60 66 112 276 322 328 336 342 360 370 388	-351731035828
SPT(16)	1025466780343585471	0 6 42 48 58 72 90 138 220 268 286 300 310 316 352 358	148972844882
STPT(10)	1025466888573007757	0 2 30 32 60 62 90 92 120 122	257202267168
TPT(16)	1025466917309989169	0 2 12 14 108 110 168 170 210 212 222 224 252 254 288 290	285939248580
STPT(10)	1025466931668358349	0 2 42 44 60 62 78 80 120 122	300297617760
SPT(16)	1025467162832510263	0 54 64 66 84 90 150 166 258 274 334 340 358 360 370 424	531461769674