Prime p₀= 2112890944691381357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2112890007046561409	0 2 42 44 60 62 78 80 120 122	-937644819948
TPT(14)	2112890027421782267	0 2 24 26 72 74 240 242 282 284 390 392 402 404	-917269599090
SPT(16)	2112890208015413129	0 8 18 32 78 80 114 120 122 128 162 164 210 224 234 242	-736675968228
STPT(10)	2112890213057004737	0 2 42 44 72 74 102 104 144 146	-731634376620
SPT(16)	2112890553764362639	0 60 108 154 168 192 204 234 268 298 310 334 348 394 442 502	-390927018718
SPT(16)	2112890870619402259	0 22 24 58 64 94 100 112 180 192 198 228 234 268 270 292	-74071979098
SPT(16)	2112890981729242859	0 2 20 42 44 72 92 110 114 132 152 180 182 204 222 224	37037861502
TPT(14)	2112891000877763837	0 2 24 26 132 134 162 164 210 212 330 332 360 362	56186382480
SPT(16)	2112891022914414307	0 10 34 42 52 82 90 120 136 166 174 204 214 222 246 256	78223032950
SPT(16)	2112891027646299787	0 34 42 46 96 102 106 124 132 150 154 160 210 214 222 256	82954918430
STPT(10)	2112891055602877577	0 2 24 26 42 44 60 62 84 86	110911496220