Prime p₀= 2618285469878546309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 178 2 82 2 178 2 46 2 (?)
a_n: 0 2 30 32 48 50 228 230 312 314 492 494 540 542
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 542
Found by: [SG-FC] hl
db: batch=82, k=14, 28 16 178 82 178 46

SPT(16)	2618282779558739873	0 24 60 84 86 110 144 170 180 206 240 264 266 290 326 350	-2690319806436
STPT(10)	2618282879261048141	0 2 6 8 18 20 30 32 36 38	-2590617498168
SPT(16)	2618283154292343829	0 22 30 54 78 100 130 168 184 222 252 274 298 322 330 352	-2315586202480
STPT(10)	2618283822729110867	0 2 90 92 102 104 114 116 204 206	-1647149435442
SPT(16)	2618284194022586057	0 20 30 44 66 104 140 150 170 180 216 254 276 290 300 320	-1275855960252
SPT(16)	2618284676664803669	0 8 14 74 80 108 150 182 210 242 284 312 318 378 384 392	-793213742640
SPT(18)	2618285607978351749	0 14 48 54 162 168 198 228 230 252 254 284 314 320 428 434 468 482	138099805440
SPT(18)	2618285802383134021	0 6 10 22 48 90 118 130 136 162 168 180 208 250 276 288 292 298	332504587712
TPT(14)	2618285838911126159	0 2 12 14 18 20 72 74 240 242 252 254 378 380	369032579850
SPT(16)	2618285865633985751	0 26 66 68 98 102 110 128 180 198 206 210 240 242 282 308	395755439442
STPT(10)	2618286335061010037	0 2 54 56 72 74 90 92 144 146	865182463728