Prime p₀= 2296676636805053939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 10 2 4 2 22 2 94 2 (?)
a_n: 0 2 18 20 60 62 72 74 78 80 102 104 198 200
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: 200
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 16 40 10 4 22 94

SPT(16)	2296674360801341681	0 2 42 66 98 110 150 158 180 188 228 240 272 296 336 338	-2276003712258
SPT(16)	2296675162348012561	0 12 40 58 78 96 112 198 400 486 502 520 540 558 586 598	-1474457041378
SPT(16)	2296675495332807157	0 30 34 60 72 84 126 136 210 220 262 274 286 312 316 346	-1141472246782
STPT(10)	2296675633507775417	0 2 42 44 72 74 102 104 144 146	-1003297278522
STPT(10)	2296676008984827521	0 2 6 8 18 20 30 32 36 38	-627820226418
SPT(16)	2296676270376945409	0 30 42 72 108 112 144 172 210 238 270 274 310 340 352 382	-366428108530
SPT(16)	2296677455587557359	0 20 38 42 92 122 132 162 188 218 228 258 308 312 330 350	818782503420
STPT(10)	2296677603259094579	0 2 18 20 30 32 42 44 60 62	966454040640
TPT(14)	2296677962370701867	0 2 12 14 24 26 60 62 102 104 114 116 144 146	1325565647928
STPT(10)	2296678252568297567	0 2 30 32 72 74 114 116 144 146	1615763243628
SPT(16)	2296678312719382187	0 66 72 126 156 182 204 222 224 242 264 290 320 374 380 446	1675914328248