Prime p₀= 927606244149530681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 112 2 88 2 64 2 28 2 (?)
a_n: 0 2 30 32 36 38 150 152 240 242 306 308 336 338
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: 338
Found by: crashtech
db: batch=76, k=14, 28 4 112 88 64 28

STPT(10)	927604805730676559	0 2 12 14 90 92 168 170 180 182	-1438418854122
STPT(10)	927605147759059769	0 2 18 20 30 32 42 44 60 62	-1096390470912
SPT(16)	927605159962960489	0 10 28 48 70 72 132 148 162 178 238 240 262 282 300 310	-1084186570192
STPT(10)	927605778507291941	0 2 30 32 78 80 126 128 156 158	-465642238740
SPT(16)	927606055031411269	0 28 34 48 78 82 94 112 120 138 150 154 184 198 204 232	-189118119412
STPT(10)	927606230836700717	0 2 84 86 162 164 240 242 324 326	-13312829964
STPT(10)	927606271771159991	0 2 48 50 108 110 168 170 216 218	27621629310
TPT(14)	927606436768656917	0 2 42 44 180 182 192 194 240 242 270 272 282 284	192619126236
SPT(18)	927606450874354729	0 100 108 112 148 202 238 240 258 262 280 282 318 372 408 412 420 520	206724824048
SPT(16)	927606808438433831	0 38 56 78 80 92 96 116 162 182 186 198 200 222 240 278	564288903150
STPT(10)	927606996589006817	0 2 30 32 72 74 114 116 144 146	752439476136