Prime p₀= 1465024042588309961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JonS
db: batch=78, k=10, 2 4 2 10 2

SPT(16)	1465023106796326919	0 8 18 20 48 150 164 188 204 228 242 344 372 374 384 392	-935791983042
STPT(10)	1465023123980058701	0 2 36 38 78 80 120 122 156 158	-918608251260
TPT(14)	1465023203944238777	0 2 54 56 60 62 114 116 144 146 150 152 192 194	-838644071184
STPT(10)	1465023387741156707	0 2 90 92 102 104 114 116 204 206	-654847153254
TPT(14)	1465023771380675837	0 2 90 92 144 146 342 344 372 374 420 422 630 632	-271207634124
SPT(16)	1465023883014241213	0 4 16 30 34 60 70 96 118 144 154 180 184 198 210 214	-159574068748
SPT(16)	1465024321843146401	0 8 18 36 80 86 98 116 120 138 150 156 200 218 228 236	279254836440
SPT(16)	1465024356050811449	0 78 80 200 234 284 312 348 374 410 438 488 522 642 644 722	313462501488
SPT(16)	1465024897776862043	0 14 26 56 108 140 168 180 194 206 234 266 318 348 360 374	855188552082
SPT(16)	1465024932767802767	0 32 54 56 102 110 140 176 270 306 336 344 390 392 414 446	890179492806
STPT(10)	1465025181509211689	0 2 48 50 90 92 132 134 180 182	1138920901728