Prime p₀= 974692795132826177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 28 2 64 2 58 2 10 2 (?)
a_n: 0 2 72 74 114 116 144 146 210 212 270 272 282 284
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: 284
Found by: stoneageman
db: batch=76, k=14, 70 40 28 64 58 10

SPT(13)	974692007656837607	0 12 30 60 90 96 156 216 222 252 282 300 312	-787475988570
SPT(16)	974692216598444599	0 24 78 94 124 138 150 154 204 208 220 234 264 280 334 358	-578534381578
SPT(16)	974692349069707601	0 48 62 116 158 176 180 188 210 218 222 240 282 336 350 398	-446063118576
SPT(16)	974692350923344981	0 36 48 58 72 76 82 142 186 246 252 256 270 280 292 328	-444209481196
SPT(16)	974692504943102489	0 12 62 90 122 168 222 252 290 320 374 420 452 480 530 542	-290189723688
STPT(10)	974692507083313859	0 2 78 80 120 122 162 164 240 242	-288049512318
STPT(10)	974692894729985927	0 2 12 14 42 44 72 74 84 86	99597159750
SPT(16)	974692979923598003	0 8 56 78 188 200 210 230 246 266 276 288 398 420 468 476	184790771826
STPT(10)	974693083628397347	0 2 30 32 42 44 54 56 84 86	288495571170
STPT(12)	974693391217885739	0 2 78 80 138 140 180 182 240 242 318 320	596085059562
SPT(16)	974693451370489853	0 14 48 78 84 104 146 156 398 408 450 470 476 506 540 554	656237663676