Prime p₀= 2846580215885292431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 40 2 58 2 28 2 4 2 (?)
a_n: 0 2 18 20 138 140 180 182 240 242 270 272 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 16 118 40 58 28 4

STPT(10)	2846578909197908627	0 2 30 32 42 44 54 56 84 86	-1306687383804
SPT(16)	2846579079038011921	0 6 28 42 90 108 130 132 196 198 220 238 286 300 322 328	-1136847280510
STPT(10)	2846579384358722561	0 2 6 8 48 50 90 92 96 98	-831526569870
SPT(16)	2846579671725865301	0 6 20 30 42 48 80 90 98 108 140 146 158 168 182 188	-544159427130
SPT(16)	2846579716902130169	0 42 80 90 102 104 114 132 182 200 210 212 224 234 272 314	-498983162262
TPT(14)	2846580122134753049	0 2 42 44 192 194 348 350 402 404 468 470 498 500	-93750539382
SPT(16)	2846580727121769487	0 66 100 114 192 234 246 276 280 310 322 364 442 456 490 556	511236477056
SPT(16)	2846580809088718109	0 14 42 92 114 128 140 144 158 162 174 188 210 260 288 302	593203425678
STPT(10)	2846580917484354287	0 2 12 14 42 44 72 74 84 86	701599061856
STPT(10)	2846580926308804667	0 2 54 56 132 134 210 212 264 266	710423512236
STPT(10)	2846581583466409049	0 2 18 20 30 32 42 44 60 62	1367581116618