Prime p₀= 1148196487783982759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 112 2 28 2 64 2 (?)
a_n: 0 2 12 14 42 44 78 80 192 194 222 224 288 290
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: 290
Found by: crashtech
db: batch=76, k=14, 10 28 34 112 28 64

SPT(16)	1148195952089840273	0 26 48 54 74 96 114 140 144 170 188 210 230 236 258 284	-535694142486
SPT(16)	1148196038649401741	0 2 42 48 108 152 200 258 290 348 396 440 500 506 546 548	-449134581018
SPT(16)	1148196151832711599	0 30 34 94 150 160 204 280 282 358 402 412 468 528 532 562	-335951271160
SPT(16)	1148196206125074179	0 24 30 38 78 104 120 194 234 308 324 350 390 398 404 428	-281658908580
STPT(10)	1148196213168921611	0 2 30 32 60 62 90 92 120 122	-274615061148
TPT(14)	1148196253949446901	0 2 36 38 90 92 180 182 216 218 258 260 348 350	-233834535858
STPT(10)	1148196593340243917	0 2 30 32 42 44 54 56 84 86	105556261158
SPT(16)	1148197284066656143	0 40 46 78 84 106 138 166 168 196 228 250 256 288 294 334	796282673384
SPT(16)	1148197421554101923	0 6 8 30 110 138 146 156 278 288 296 324 404 426 428 434	933770119164
STPT(10)	1148197450018885961	0 2 30 32 60 62 90 92 120 122	962234903202
SPT(16)	1148197871800743233	0 56 84 86 98 170 200 318 326 444 474 546 558 560 588 644	1384016760474