Prime p₀= 1292249508197593241 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 10 2

TPT(14)	1292247459931108907	0 2 90 92 114 116 132 134 144 146 174 176 210 212	-2048266484334
SPT(16)	1292247654768729779	0 54 60 98 128 150 162 168 194 200 212 234 264 302 308 362	-1853428863462
SPT(16)	1292247825072971023	0 54 70 76 96 118 148 174 280 306 336 358 378 384 400 454	-1683124622218
STPT(10)	1292248176016183817	0 2 30 32 72 74 114 116 144 146	-1332181409424
STPT(10)	1292248632624979199	0 2 18 20 30 32 42 44 60 62	-875572614042
SPT(16)	1292248787593232647	0 52 54 70 112 120 124 132 142 150 154 162 204 220 222 274	-720604360594
SPT(16)	1292249906993352341	0 60 68 80 86 102 128 152 156 180 206 222 228 240 248 308	398795759100
STPT(10)	1292249941360236317	0 2 30 32 42 44 54 56 84 86	433162643076
STPT(10)	1292250025058227601	0 2 36 38 78 80 120 122 156 158	516860634360
SPT(16)	1292250227738681611	0 22 58 96 126 136 142 178 210 246 252 262 292 330 366 388	719541088370
STPT(10)	1292250532085857847	0 2 24 26 42 44 60 62 84 86	1023888264606