Prime p₀= 1025502293367676517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1025501789477558839	0 24 28 34 54 64 70 130 168 228 234 244 264 270 274 298	-503890117678
STPT(10)	1025501831537204009	0 2 18 20 30 32 42 44 60 62	-461830472508
STPT(10)	1025501843326252319	0 2 18 20 30 32 42 44 60 62	-450041424198
SPT(16)	1025502071241513221	0 30 32 98 108 110 116 156 182 222 228 230 240 306 308 338	-222126163296
STPT(10)	1025502114287339831	0 2 6 8 18 20 30 32 36 38	-179080336686
TPT(14)	1025502260564656361	0 2 48 50 126 128 180 182 186 188 216 218 300 302	-32803020156
SPT(16)	1025502315908648873	0 36 66 78 114 176 204 240 344 380 408 470 506 518 548 584	22540972356
TPT(14)	1025502337853679221	0 2 6 8 30 32 48 50 90 92 156 158 180 182	44486002704
SPT(16)	1025502865597814707	0 6 12 22 52 54 64 120 136 192 202 204 234 244 250 256	572230138190
SPT(16)	1025502935577687871	0 22 42 58 76 96 162 166 192 196 262 282 300 316 336 358	642210011354
SPT(16)	1025502970638628997	0 6 56 62 86 102 132 144 182 194 224 240 264 270 320 326	677270952480