Prime p₀= 1022711784209900177 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1022710627236856697	0 2 14 20 42 72 84 110 126 152 164 194 216 222 234 236	-1156973043480
SPT(16)	1022710734152307007	0 22 40 82 90 96 112 166 246 300 316 322 330 372 390 412	-1050057593170
SPT(16)	1022710790231411579	0 12 20 62 84 132 134 180 212 258 260 308 330 372 380 392	-993978488598
STPT(10)	1022710987629378557	0 2 42 44 72 74 102 104 144 146	-796580521620
STPT(10)	1022711151728874869	0 2 18 20 30 32 42 44 60 62	-632481025308
SPT(16)	1022711359948915573	0 10 18 30 34 40 88 124 144 180 228 234 238 250 258 268	-424260984604
SPT(16)	1022711823182654873	0 8 14 20 30 56 78 120 134 176 198 224 234 240 246 254	38972754696
SPT(16)	1022712468579097651	0 10 76 78 88 102 130 132 166 168 196 210 220 222 288 298	684369197474
TPT(14)	1022712680700560651	0 2 90 92 126 128 216 218 228 230 240 242 258 260	896490660474
SPT(16)	1022712855611382407	0 6 24 62 84 92 104 162 194 252 264 272 294 332 350 356	1071401482230
STPT(10)	1022713008002291699	0 2 42 44 60 62 78 80 120 122	1223792391522