Prime p₀= 2743681470136096739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2743680192988354079	0 12 14 20 38 48 78 120 152 194 224 234 252 258 260 272	-1277147742660
STPT(10)	2743680697786312631	0 2 6 8 48 50 90 92 96 98	-772349784108
SPT(16)	2743680730738066079	0 20 38 44 48 90 108 132 140 164 182 224 228 234 252 272	-739398030660
SPT(16)	2743680755172377627	0 6 14 74 84 90 102 162 164 224 236 242 252 312 320 326	-714963719112
SPT(16)	2743680772376016103	0 4 30 36 114 130 196 204 220 228 294 310 388 394 420 424	-697760080636
SPT(16)	2743681305021764579	0 2 24 30 72 110 140 180 194 234 264 302 344 350 372 374	-165114332160
TPT(14)	2743681535933643959	0 2 78 80 108 110 120 122 132 134 162 164 222 224	65797547220
STPT(10)	2743681535933644037	0 2 30 32 42 44 54 56 84 86	65797547298
STPT(10)	2743681553152278377	0 2 60 62 72 74 84 86 144 146	83016181638
SPT(16)	2743681561104984869	0 84 120 174 188 204 222 260 402 440 458 474 488 542 578 662	90968888130
SPT(16)	2743681902383652991	0 28 40 46 66 96 126 148 150 172 202 232 252 258 270 298	432247556252