Prime p₀= 2770690972356729941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Roadranner
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2770688499340649053	0 4 36 46 64 66 78 96 118 136 148 150 168 178 210 214	-2473016080888
SPT(13)	2770688527839395483	0 36 48 60 78 126 168 210 258 276 288 300 336	-2444517334458
STPT(10)	2770688736961029629	0 2 42 44 90 92 138 140 180 182	-2235395700312
STPT(10)	2770689333632675627	0 2 30 32 42 44 54 56 84 86	-1638724054314
STPT(10)	2770689456013172339	0 2 48 50 60 62 72 74 120 122	-1516343557602
STPT(10)	2770690404342245681	0 2 6 8 18 20 30 32 36 38	-568014484260
SPT(16)	2770691055109253167	0 90 106 184 192 232 240 246 280 286 294 334 342 420 436 526	82752523226
SPT(16)	2770691107298340221	0 80 90 132 140 162 176 210 332 366 380 402 410 452 462 542	134941610280
STPT(10)	2770691161972944311	0 2 6 8 48 50 90 92 96 98	189616214370
STPT(10)	2770691166006471677	0 2 12 14 72 74 132 134 144 146	193649741736
SPT(16)	2770691391955735153	0 6 28 64 70 78 100 118 156 174 196 204 210 246 268 274	419599005212