Prime p₀= 2313462694316540279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: WTBroughton
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2313459277086603827	0 20 44 54 62 80 90 132 164 206 216 234 242 252 276 296	-3417229936452
TPT(14)	2313459415008955331	0 2 66 68 96 98 108 110 150 152 180 182 186 188	-3279307584948
SPT(16)	2313459993073224361	0 6 22 28 36 42 72 88 90 106 136 142 150 156 172 178	-2701243315918
SPT(16)	2313460211158859419	0 34 88 112 130 138 144 180 202 238 244 252 270 294 348 382	-2483157680860
STPT(10)	2313462026952611201	0 2 6 8 18 20 30 32 36 38	-667363929078
STPT(10)	2313462133343228909	0 2 18 20 30 32 42 44 60 62	-560973311370
SPT(16)	2313462933908510077	0 4 30 40 70 72 94 96 100 102 124 126 156 166 192 196	239591969798
SPT(16)	2313463314190036909	0 10 52 64 124 150 190 220 234 264 304 330 390 402 444 454	619873496630
SPT(16)	2313463609827295327	0 22 34 36 70 96 114 142 264 292 310 336 370 372 384 406	915510755048
SPT(18)	2313463721022428461	0 6 48 58 90 186 216 238 252 256 270 292 322 418 450 460 502 508	1026705888182
TPT(14)	2313463740286851041	0 2 36 38 180 182 240 242 246 248 360 362 378 380	1045970310762