Prime p₀= 974551011565944179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 58 2 10 2 10 2 34 2 52 2 (?)
a_n: 0 2 48 50 108 110 120 122 132 134 168 170 222 224
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: 224
Found by: Dirk Broer
db: batch=76, k=14, 46 58 10 10 34 52

SPT(16)	974549229904516571	0 2 60 116 132 138 152 162 236 246 260 266 282 338 396 398	-1781661427608
SPT(16)	974549244495370091	0 30 98 116 150 158 210 228 230 248 300 308 342 360 428 458	-1767070574088
SPT(16)	974550301463497067	0 24 60 86 110 114 156 204 242 290 332 336 360 386 422 446	-710102447112
SPT(16)	974550534568287371	0 6 32 56 92 102 116 140 162 186 200 210 246 270 296 302	-476997656808
SPT(16)	974550756270111193	0 10 40 54 60 70 78 138 160 220 228 238 244 258 288 298	-255295832986
SPT(16)	974550804019078679	0 2 18 42 84 134 138 194 228 284 288 338 380 404 420 422	-207546865500
SPT(16)	974551260188939449	0 4 22 78 84 102 108 120 262 274 280 298 304 360 378 382	248622995270
STPT(10)	974551299997945721	0 2 6 8 18 20 30 32 36 38	288432001542
SPT(16)	974551302461117197	0 4 24 42 66 76 90 130 216 256 270 280 304 322 342 346	290895173018
TPT(16)	974551566837236327	0 2 30 32 42 44 84 86 102 104 252 254 294 296 324 326	555271292148
STPT(10)	974551848664626059	0 2 18 20 60 62 102 104 120 122	837098681880