Prime p₀= 742366335590545409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 4 2 148 2 70 2 106 2 (?)
a_n: 0 2 42 44 72 74 78 80 228 230 300 302 408 410
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: 410
Found by: Theadalus
db: batch=73, k=14, 40 28 4 148 70 106

STPT(10)	742365568990850471	0 2 6 8 18 20 30 32 36 38	-766599694938
SPT(16)	742365677712311903	0 26 96 108 126 164 200 246 248 294 330 368 386 398 468 494	-657878233506
TPT(14)	742365883483235831	0 2 30 32 66 68 78 80 120 122 138 140 150 152	-452107309578
SPT(16)	742366050940761683	0 14 36 56 74 86 116 134 150 168 198 210 228 248 270 284	-284649783726
SPT(16)	742366186025792023	0 28 36 66 70 76 90 106 138 154 168 174 178 208 216 244	-149564753386
SPT(16)	742366269459329531	0 2 18 20 30 32 38 90 98 150 156 158 168 170 186 188	-66131215878
STPT(10)	742366411072550021	0 2 6 8 18 20 30 32 36 38	75482004612
SPT(16)	742366423963369379	0 38 48 80 84 114 128 168 194 234 248 278 282 314 324 362	88372823970
SPT(20)	742366819556624849	0 48 90 140 182 198 210 230 324 332 360 368 462 482 494 510 552 602 644 692	483966079440
TPT(14)	742367032617914369	0 2 42 44 78 80 150 152 162 164 222 224 240 242	697027368960
STPT(10)	742367113595726789	0 2 42 44 60 62 78 80 120 122	778005181380