Prime p₀= 2726459185599882287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 52 2 16 2 118 2 70 2 16 2 (?)
a_n: 0 2 90 92 144 146 162 164 282 284 354 356 372 374
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: 374
Found by: [SG-FC] hl
db: batch=82, k=14, 88 52 16 118 70 16

STPT(10)	2726457982743663209	0 2 18 20 30 32 42 44 60 62	-1202856219078
SPT(16)	2726458340353584601	0 52 66 70 72 102 216 226 246 256 370 400 402 406 420 472	-845246297686
SPT(18)	2726458370963850511	0 16 30 46 48 52 60 66 72 106 112 118 126 130 132 148 162 178	-814636031776
STPT(10)	2726458594463672597	0 2 60 62 72 74 84 86 144 146	-591136209690
STPT(10)	2726458891445877317	0 2 30 32 72 74 114 116 144 146	-294154004970
SPT(16)	2726458968380443841	0 2 56 62 96 98 132 138 200 206 240 242 276 282 336 338	-217219438446
STPT(10)	2726459220344329997	0 2 90 92 102 104 114 116 204 206	34744447710
SPT(16)	2726459931374275001	0 8 86 110 120 126 138 152 156 170 182 188 198 222 300 308	745774392714
STPT(10)	2726460279989581097	0 2 30 32 42 44 54 56 84 86	1094389698810
SPT(16)	2726460316466235191	0 6 66 90 96 108 110 128 150 168 170 182 188 212 272 278	1130866352904
SPT(16)	2726460420101157899	0 8 20 42 68 110 120 162 200 242 252 294 320 342 354 362	1234501275612