Prime p₀= 2825637903338211107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 40 2 34 2 28 2 52 2 (?)
a_n: 0 2 24 26 102 104 144 146 180 182 210 212 264 266
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, 22 76 40 34 28 52

SPT(16)	2825636721148104581	0 18 20 26 116 158 168 182 216 230 240 282 372 378 380 398	-1182190106526
SPT(16)	2825636821533288907	0 22 70 72 82 102 106 126 160 180 184 204 214 216 264 286	-1081804922200
SPT(16)	2825637173253646709	0 2 12 20 90 144 192 210 254 272 320 374 444 452 462 464	-730084564398
SPT(16)	2825637318813022789	0 18 60 82 84 88 102 130 162 190 204 208 210 232 274 292	-584525188318
SPT(16)	2825637695597437769	0 12 54 74 80 90 110 114 140 144 164 174 180 200 242 254	-207740773338
STPT(10)	2825637839574768761	0 2 6 8 48 50 90 92 96 98	-63763442346
STPT(10)	2825638029464039681	0 2 90 92 108 110 126 128 216 218	126125828574
SPT(18)	2825638178039351839	0 90 112 118 138 168 178 250 292 318 360 432 442 472 492 498 520 610	274701140732
SPT(16)	2825638387621092401	0 12 42 98 108 120 140 158 270 288 308 320 330 386 416 428	484282881294
STPT(10)	2825638571129176457	0 2 54 56 72 74 90 92 144 146	667790965350
STPT(10)	2825638588486107209	0 2 12 14 30 32 48 50 60 62	685147896102