Prime p₀= 2506410386455684571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(20)	2506409161716176557	0 16 36 42 64 70 102 120 130 142 234 246 256 274 306 312 334 340 360 376	-1224739508014
TPT(14)	2506409317868378891	0 2 48 50 78 80 90 92 138 140 150 152 288 290	-1068587305680
STPT(10)	2506409410572003449	0 2 42 44 60 62 78 80 120 122	-975883681122
SPT(16)	2506409918451560939	0 32 38 54 180 192 198 210 212 224 230 242 368 384 390 422	-468004123632
SPT(16)	2506410199498930909	0 64 72 94 148 174 184 210 262 288 298 324 378 400 408 472	-186956753662
STPT(10)	2506410374032033319	0 2 48 50 90 92 132 134 180 182	-12423651252
TPT(14)	2506410421544506511	0 2 66 68 108 110 138 140 150 152 168 170 210 212	35088821940
STPT(10)	2506411302602693411	0 2 30 32 78 80 126 128 156 158	916147008840
TPT(14)	2506411331653875407	0 2 54 56 84 86 150 152 192 194 210 212 282 284	945198190836
SPT(16)	2506411397295902543	0 18 30 54 56 98 110 128 156 174 186 228 230 254 266 284	1010840217972
STPT(10)	2506411459505394809	0 2 18 20 30 32 42 44 60 62	1073049710238