Prime p₀= 2962697792634168527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 148 2 28 2 28 2 10 2 10 2 (?)
a_n: 0 2 30 32 180 182 210 212 240 242 252 254 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 28 148 28 28 10 10

SPT(16)	2962696319374811167	0 10 16 42 114 120 142 180 196 234 256 262 334 360 366 376	-1473259357360
STPT(12)	2962696563024730331	0 2 90 92 120 122 126 128 156 158 246 248	-1229609438196
STPT(10)	2962696851631808111	0 2 6 8 18 20 30 32 36 38	-941002360416
SPT(13)	2962697063964351913	0 66 108 150 156 198 288 378 420 426 468 510 576	-728669816614
SPT(16)	2962697067918893117	0 14 30 36 50 54 86 96 140 150 182 186 200 206 222 236	-724715275410
STPT(10)	2962697565545184497	0 2 30 32 60 62 90 92 120 122	-227088984030
STPT(10)	2962698176780498699	0 2 12 14 90 92 168 170 180 182	384146330172
SPT(16)	2962698314522943289	0 82 90 94 112 138 198 220 282 304 364 390 408 412 420 502	521888774762
SPT(16)	2962698324843223931	0 2 26 38 72 86 96 182 306 392 402 416 450 462 486 488	532209055404
SPT(16)	2962698360951949937	0 20 30 44 104 116 132 170 186 224 240 252 312 326 336 356	568317781410
STPT(10)	2962698717518668547	0 2 42 44 72 74 102 104 144 146	924884500020