Prime p₀= 2906559699697393709 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: Ben
db: batch=82, k=10, 2 10 2 16 2

STPT(10)	2906557079935958297	0 2 30 32 60 62 90 92 120 122	-2619761435412
SPT(16)	2906557256651386321	0 46 70 76 90 100 132 142 156 166 198 208 222 228 252 298	-2443046007388
SPT(16)	2906557458527141093	0 20 30 90 98 110 134 140 204 210 234 246 254 314 324 344	-2241170252616
SPT(16)	2906558172620501681	0 6 36 62 86 98 128 140 198 210 240 252 276 302 332 338	-1527076892028
STPT(10)	2906558454111517979	0 2 42 44 90 92 138 140 180 182	-1245585875730
SPT(16)	2906558958219250963	0 4 16 24 28 48 58 84 100 126 136 156 160 168 180 184	-741478142746
SPT(16)	2906559860418994877	0 12 14 54 84 86 116 146 180 210 240 242 272 312 314 326	160721601168
SPT(16)	2906560273717148149	0 10 28 30 40 54 78 114 118 154 178 192 202 204 222 232	574019754440
STPT(10)	2906560413219637589	0 2 18 20 30 32 42 44 60 62	713522243880
SPT(16)	2906560466767992011	0 48 98 108 120 126 138 168 230 260 272 278 290 300 350 398	767070598302
SPT(16)	2906560574540445577	0 10 16 30 52 112 156 166 186 196 240 300 322 336 342 352	874843051868