Prime p₀= 2267731446278407001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Landjunge
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2267729653889327413	0 36 48 60 66 78 118 126 238 246 286 298 304 316 328 364	-1792389079588
STPT(10)	2267729723738287967	0 2 30 32 72 74 114 116 144 146	-1722540119034
STPT(10)	2267730207728612981	0 2 6 8 48 50 90 92 96 98	-1238549794020
SPT(20)	2267730329294196523	0 54 60 66 96 124 130 136 144 150 184 190 198 204 210 238 268 274 280 334	-1116984210478
STPT(10)	2267730510301918559	0 2 18 20 30 32 42 44 60 62	-935976488442
STPT(10)	2267731134435551051	0 2 36 38 78 80 120 122 156 158	-311842855950
STPT(10)	2267731580514691139	0 2 30 32 60 62 90 92 120 122	134236284138
SPT(16)	2267732154876432107	0 2 12 42 54 66 92 96 110 114 140 152 164 194 204 206	708598025106
SPT(16)	2267732186269433069	0 2 32 68 92 98 138 198 224 284 324 330 354 390 420 422	739991026068
STPT(10)	2267732286526224569	0 2 18 20 30 32 42 44 60 62	840247817568
TPT(14)	2267732660718587861	0 2 30 32 36 38 78 80 138 140 198 200 210 212	1214440180860