Prime p₀= 2949133094828958767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 90 92 120 122 132 134 144 146 174 176
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: 176
Found by: [SG-FC] hl
db: batch=82, k=14, 28 58 28 10 10 28

SPT(16)	2949131731421938003	0 30 54 60 138 184 186 210 214 238 240 286 364 370 394 424	-1363407020764
SPT(16)	2949131747788249267	0 6 60 72 100 102 132 142 144 154 184 186 214 226 280 286	-1347040709500
SPT(16)	2949131882984029703	0 8 36 60 78 86 164 186 188 210 288 296 314 338 366 374	-1211844929064
SPT(16)	2949132160434155603	0 6 18 24 74 84 90 108 116 134 140 150 200 206 218 224	-934394803164
STPT(10)	2949132374925748379	0 2 18 20 30 32 42 44 60 62	-719903210388
STPT(10)	2949132825112079141	0 2 6 8 48 50 90 92 96 98	-269716879626
STPT(10)	2949133094828958857	0 2 30 32 42 44 54 56 84 86	90
STPT(10)	2949133302910517531	0 2 6 8 48 50 90 92 96 98	208081558764
SPT(16)	2949134143841560459	0 4 28 30 64 72 82 108 184 210 220 228 262 264 288 292	1049012601692
SPT(18)	2949134700606571069	0 22 28 42 48 84 88 118 120 202 204 234 238 274 280 294 300 322	1605777612302
SPT(16)	2949134954782270273	0 4 78 88 94 118 138 144 154 160 180 204 210 220 294 298	1859953311506