Prime p₀= 2925151095356709677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 34 2 28 2 52 2 4 2 (?)
a_n: 0 2 12 14 84 86 120 122 150 152 204 206 210 212
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: 212
Found by: Landjunge
db: batch=82, k=14, 10 70 34 28 52 4

SPT(16)	2925149728518622391	0 26 30 50 72 80 92 108 140 156 168 176 198 218 222 248	-1366838087286
STPT(10)	2925149752282297361	0 2 6 8 48 50 90 92 96 98	-1343074412316
SPT(16)	2925149862025738199	0 2 24 30 42 62 128 132 140 144 210 230 242 248 270 272	-1233330971478
STPT(10)	2925150170163333941	0 2 6 8 48 50 90 92 96 98	-925193375736
SPT(16)	2925150930864022537	0 22 66 112 120 130 132 174 232 274 276 286 294 340 384 406	-164492687140
SPT(16)	2925150960785827789	0 30 88 94 108 210 274 280 312 318 382 484 498 504 562 592	-134570881888
SPT(16)	2925151202877476983	0 4 28 40 48 54 70 154 174 258 274 280 288 300 324 328	107520767306
STPT(10)	2925151876243920821	0 2 36 38 78 80 120 122 156 158	780887211144
STPT(10)	2925151942686398429	0 2 12 14 90 92 168 170 180 182	847329688752
SPT(16)	2925152138491721183	0 14 38 50 104 108 134 140 174 180 206 210 264 276 300 314	1043135011506
TPT(14)	2925152268428920139	0 2 30 32 108 110 120 122 162 164 210 212 240 242	1173072210462