Prime p₀= 1958489480636437829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 88 2 130 2 28 2 4 2 40 2 (?)
a_n: 0 2 120 122 210 212 342 344 372 374 378 380 420 422
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: 422
Found by: Landjunge
db: batch=80, k=14, 118 88 130 28 4 40

SPT(16)	1958487163669385413	0 28 54 58 64 88 96 186 208 298 306 330 336 340 366 394	-2316967052416
SPT(16)	1958487377502379777	0 16 72 76 82 106 114 124 162 172 180 204 210 214 270 286	-2103134058052
SPT(16)	1958487755464633423	0 34 46 66 70 144 150 154 210 214 220 294 298 318 330 364	-1725171804406
STPT(10)	1958488474765296767	0 2 42 44 72 74 102 104 144 146	-1005871141062
SPT(16)	1958488615067098547	0 20 66 90 122 156 180 210 212 242 266 300 332 356 402 422	-865569339282
STPT(10)	1958488833278503049	0 2 18 20 30 32 42 44 60 62	-647357934780
SPT(16)	1958489890056588277	0 30 72 100 114 126 210 312 364 466 550 562 576 604 646 676	409420150448
STPT(10)	1958489920367925797	0 2 30 32 72 74 114 116 144 146	439731487968
STPT(10)	1958490180423729497	0 2 30 32 42 44 54 56 84 86	699787291668
TPT(14)	1958490210079843409	0 2 48 50 90 92 102 104 132 134 138 140 168 170	729443405580
SPT(13)	1958490277715057741	0 6 42 72 102 132 156 180 210 240 270 306 312	797078619912