Prime p₀= 1956957751525617287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

STPT(10)	1956955258522351187	0 2 60 62 102 104 144 146 204 206	-2493003266100
STPT(10)	1956955384374859151	0 2 6 8 48 50 90 92 96 98	-2367150758136
STPT(10)	1956956798446866917	0 2 30 32 42 44 54 56 84 86	-953078750370
SPT(16)	1956957363366729811	0 10 22 28 48 106 118 162 196 240 252 310 330 336 348 358	-388158887476
SPT(16)	1956957449861183537	0 14 56 96 120 132 164 176 180 192 224 236 260 300 342 356	-301664433750
SPT(16)	1956957665032672927	0 4 16 70 84 94 106 126 130 150 162 172 186 240 252 256	-86492944360
STPT(10)	1956958006288770731	0 2 36 38 78 80 120 122 156 158	254763153444
STPT(10)	1956958016192149307	0 2 30 32 42 44 54 56 84 86	264666532020
STPT(10)	1956958496325524297	0 2 12 14 72 74 132 134 144 146	744799907010
SPT(16)	1956958827286237193	0 6 14 26 60 104 108 116 138 146 150 194 228 240 248 254	1075760619906
TPT(14)	1956959518333368881	0 2 36 38 48 50 66 68 78 80 168 170 180 182	1766807751594