Prime p₀= 1058148707172283757 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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1058146996934534219	0 38 98 108 128 138 188 198 290 300 350 360 380 390 450 488	-1710237749538
SPT(16)	1058147069891066933	0 44 50 78 110 134 138 198 206 266 270 294 326 354 360 404	-1637281216824
SPT(16)	1058147150177193463	0 90 100 118 190 210 216 234 280 298 304 324 396 414 424 514	-1556995090294
TPT(14)	1058148017715881327	0 2 54 56 102 104 132 134 144 146 174 176 222 224	-689456402430
STPT(12)	1058148017715881381	0 2 48 50 78 80 90 92 120 122 168 170	-689456402376
SPT(16)	1058148443849734807	0 22 30 64 76 82 114 154 162 202 234 240 252 286 294 316	-263322548950
TPT(14)	1058148842540507567	0 2 42 44 54 56 132 134 180 182 192 194 210 212	135368223810
STPT(10)	1058149233445541021	0 2 36 38 78 80 120 122 156 158	526273257264
TPT(14)	1058149299853922831	0 2 36 38 60 62 78 80 156 158 168 170 258 260	592681639074
SPT(16)	1058149662356148863	0 44 50 74 78 144 156 174 380 398 410 476 480 504 510 554	955183865106
STPT(10)	1058149758556152011	0 2 36 38 78 80 120 122 156 158	1051383868254