Prime p₀= 837620583708278351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 58 2 4 2 40 2 88 2 (?)
a_n: 0 2 48 50 60 62 120 122 126 128 168 170 258 260
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: 260
Found by: RFGuy_KCCO
db: batch=73, k=14, 46 10 58 4 40 88

SPT(16)	837619906453400039	0 12 14 32 54 92 102 144 170 212 222 260 282 300 302 314	-677254878312
SPT(16)	837619931304503443	0 54 64 70 78 88 108 130 144 166 186 196 204 210 220 274	-652403774908
STPT(10)	837619955181636227	0 2 30 32 42 44 54 56 84 86	-628526642124
SPT(16)	837620026928365277	0 2 6 86 90 114 126 216 290 380 392 416 420 500 504 506	-556779913074
STPT(10)	837620291119132907	0 2 12 14 42 44 72 74 84 86	-292589145444
STPT(12)	837620528203625897	0 2 42 44 54 56 120 122 132 134 174 176	-55504652454
SPT(16)	837620830714528951	0 10 28 52 72 82 96 100 138 142 156 166 186 210 228 238	247006250600
STPT(10)	837621007131210899	0 2 42 44 60 62 78 80 120 122	423422932548
SPT(16)	837621111118223189	0 18 62 92 98 102 164 168 224 228 290 294 300 330 374 392	527409944838
SPT(16)	837621374542670947	0 40 52 124 144 160 166 220 246 300 306 322 342 414 426 466	790834392596
STPT(10)	837621398098483049	0 2 42 44 60 62 78 80 120 122	814390204698