Prime p₀= 2513568034255079687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2513566797688987279	0 52 78 82 88 100 114 142 150 178 192 204 210 214 240 292	-1236566092408
SPT(16)	2513566888672676131	0 12 52 100 142 192 198 208 210 220 226 276 318 366 406 418	-1145582403556
SPT(16)	2513567416533533209	0 22 24 28 40 54 78 90 142 154 178 192 204 208 210 232	-617721546478
SPT(16)	2513567548830036631	0 6 10 30 36 72 126 130 132 136 190 226 232 252 256 262	-485425043056
STPT(10)	2513567675791129301	0 2 36 38 78 80 120 122 156 158	-358463950386
TPT(14)	2513567819350797239	0 2 30 32 90 92 132 134 240 242 252 254 258 260	-214904282448
STPT(10)	2513568056140538741	0 2 36 38 78 80 120 122 156 158	21885459054
SPT(16)	2513568099373855387	0 22 24 30 76 100 142 156 160 174 216 240 286 292 294 316	65118775700
SPT(16)	2513568328894400353	0 10 16 58 60 88 108 114 130 136 156 184 186 228 234 244	294639320666
STPT(10)	2513568455706511937	0 2 30 32 42 44 54 56 84 86	421451432250
TPT(14)	2513568461926643711	0 2 30 32 36 38 120 122 126 128 186 188 198 200	427671564024