Prime p₀= 1512411237038528249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 16 2 40 2 136 2 16 2 (?)
a_n: 0 2 120 122 132 134 150 152 192 194 330 332 348 350
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: 350
Found by: crashtech
db: batch=78, k=14, 118 10 16 40 136 16

STPT(10)	1512409321954372757	0 2 24 26 42 44 60 62 84 86	-1915084155492
SPT(16)	1512409846625174771	0 26 30 42 180 206 236 240 248 252 282 308 446 458 462 488	-1390413353478
SPT(16)	1512410066484378769	0 42 82 94 112 120 162 234 250 322 364 372 390 402 442 484	-1170554149480
SPT(16)	1512410191597734301	0 28 36 46 52 108 130 136 162 168 190 246 252 262 270 298	-1045440793948
SPT(16)	1512410721113535571	0 6 16 40 58 72 130 132 136 138 196 210 228 252 262 268	-515924992678
STPT(12)	1512410845819613567	0 2 60 62 84 86 90 92 114 116 174 176	-391218914682
TPT(16)	1512411260311817687	0 2 24 26 90 92 132 134 162 164 174 176 204 206 222 224	23273289438
SPT(16)	1512411360328687723	0 6 76 88 94 100 108 114 130 136 144 150 156 168 238 244	123290159474
STPT(10)	1512411503603425427	0 2 30 32 72 74 114 116 144 146	266564897178
STPT(10)	1512411580647290759	0 2 18 20 60 62 102 104 120 122	343608762510
TPT(14)	1512411602096404769	0 2 12 14 48 50 60 62 102 104 168 170 240 242	365057876520