Prime p₀= 2588604849003373547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 40 2 28 2 34 2 (?)
a_n: 0 2 12 14 42 44 72 74 114 116 144 146 180 182
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: JayPi
db: batch=82, k=14, 10 28 28 40 28 34

STPT(10)	2588603455970818421	0 2 36 38 78 80 120 122 156 158	-1393032555126
SPT(16)	2588603554444861567	0 6 22 60 66 70 120 124 132 136 186 190 196 234 250 256	-1294558511980
STPT(10)	2588603923318348721	0 2 30 32 78 80 126 128 156 158	-925685024826
TPT(14)	2588603998568328527	0 2 24 26 42 44 120 122 174 176 180 182 222 224	-850435045020
STPT(10)	2588604004430497517	0 2 60 62 102 104 144 146 204 206	-844572876030
SPT(16)	2588604053168012713	0 36 60 70 78 96 184 190 204 210 298 316 324 334 358 394	-795835360834
STPT(10)	2588605388165282621	0 2 36 38 78 80 120 122 156 158	539161909074
STPT(10)	2588605427016966359	0 2 30 32 60 62 90 92 120 122	578013592812
SPT(16)	2588605595834174143	0 6 16 30 58 64 76 84 100 108 120 126 154 168 178 184	746830800596
SPT(16)	2588605599722233789	0 22 48 90 112 132 180 192 220 232 280 300 322 364 390 412	750718860242
STPT(10)	2588605867603515119	0 2 42 44 90 92 138 140 180 182	1018600141572