Prime p₀= 1116982141201498457 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)	1116980223690595003	0 28 34 48 78 88 90 106 108 124 126 136 166 180 186 214	-1917510903454
TPT(14)	1116980405569501997	0 2 12 14 30 32 54 56 60 62 84 86 294 296	-1735631996460
STPT(10)	1116980816412011357	0 2 42 44 72 74 102 104 144 146	-1324789487100
SPT(16)	1116981047627034803	0 6 90 98 110 120 140 170 174 204 224 234 246 254 338 344	-1093574463654
SPT(16)	1116981053575580371	0 36 48 66 78 100 112 118 360 366 378 400 412 430 442 478	-1087625918086
SPT(16)	1116982119527816389	0 70 72 124 148 172 190 250 312 372 390 414 438 490 492 562	-21673682068
SPT(16)	1116982326845124203	0 36 50 66 98 120 144 150 224 230 254 276 308 324 338 374	185643625746
STPT(10)	1116982337662930769	0 2 42 44 120 122 198 200 240 242	196461432312
SPT(16)	1116982411192568027	0 42 60 84 122 174 272 284 360 372 470 522 560 584 602 644	269991069570
TPT(14)	1116982556436922559	0 2 42 44 60 62 138 140 180 182 192 194 228 230	415235424102
STPT(10)	1116982776308786069	0 2 48 50 90 92 132 134 180 182	635107287612