Prime p₀= 2328574961783626679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2328574029918157739	0 42 48 50 72 78 90 104 198 212 224 230 252 254 260 302	-931865468940
STPT(10)	2328574145570342609	0 2 30 32 60 62 90 92 120 122	-816213284070
SPT(16)	2328574167626019119	0 14 32 48 72 74 182 242 300 360 468 470 494 510 528 542	-794157607560
SPT(16)	2328574235871852049	0 34 48 58 78 154 184 190 222 228 258 334 354 364 378 412	-725911774630
STPT(10)	2328574355340698789	0 2 18 20 60 62 102 104 120 122	-606442927890
STPT(10)	2328574938179942897	0 2 30 32 42 44 54 56 84 86	-23603683782
SPT(16)	2328575135296976021	0 2 30 96 110 122 140 170 192 222 240 252 266 332 360 362	173513349342
STPT(10)	2328575238546635129	0 2 18 20 30 32 42 44 60 62	276763008450
STPT(10)	2328575497083912689	0 2 18 20 30 32 42 44 60 62	535300286010
SPT(16)	2328575779727141239	0 10 40 64 72 100 142 150 184 192 234 262 270 294 324 334	817943514560
STPT(10)	2328575810358343751	0 2 6 8 18 20 30 32 36 38	848574717072