Prime p₀= 726177247770656189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 10 2 10 2 64 2 40 2 (?)
a_n: 0 2 30 32 48 50 60 62 72 74 138 140 180 182
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: 182
Found by: jozef j
db: batch=73, k=14, 28 16 10 10 64 40

STPT(10)	726175678407482057	0 2 60 62 72 74 84 86 144 146	-1569363174132
SPT(16)	726176402880451951	0 42 70 72 82 106 108 148 240 280 282 306 316 318 346 388	-844890204238
TPT(14)	726176465974573637	0 2 60 62 72 74 270 272 282 284 324 326 330 332	-781796082552
SPT(16)	726176504350349993	0 66 78 96 98 110 114 150 194 230 234 246 248 266 278 344	-743420306196
STPT(10)	726176577854630699	0 2 18 20 30 32 42 44 60 62	-669916025490
SPT(16)	726177170874568841	0 30 36 42 60 108 120 168 180 228 240 288 306 312 318 348	-76896087348
SPT(16)	726177506565142327	0 12 40 42 150 174 180 202 282 304 310 334 442 444 472 484	258794486138
SPT(16)	726177644485826573	0 6 14 18 66 80 110 134 150 174 204 218 266 270 278 284	396715170384
STPT(12)	726177673536252359	0 2 30 32 42 44 78 80 90 92 120 122	425765596170
SPT(16)	726177792767202199	0 22 64 102 112 120 130 138 154 162 172 180 190 228 270 292	544996546010
SPT(16)	726177916933276891	0 30 48 58 66 70 76 90 136 150 156 160 168 178 196 226	669162620702