Prime p₀= 944711112909019409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 22 2 46 2 76 2 28 2 (?)
a_n: 0 2 42 44 48 50 72 74 120 122 198 200 228 230
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: 230
Found by: [SG]FX
db: batch=76, k=14, 40 4 22 46 76 28

SPT(16)	944710403015517449	0 48 80 84 114 150 210 252 260 302 362 398 428 432 464 512	-709893501960
SPT(16)	944710501782890099	0 50 54 74 98 132 134 180 182 228 230 264 288 308 312 362	-611126129310
STPT(10)	944710796357357789	0 2 42 44 90 92 138 140 180 182	-316551661620
SPT(16)	944710866532108721	0 8 48 62 86 90 96 108 110 122 128 132 156 170 210 218	-246376910688
SPT(16)	944710919714667863	0 14 66 86 90 108 114 150 164 200 206 224 228 248 300 314	-193194351546
TPT(14)	944710956578509187	0 2 12 14 84 86 114 116 144 146 222 224 240 242	-156330510222
SPT(16)	944711146424620723	0 54 96 120 154 166 180 196 198 214 228 240 274 298 340 394	33515601314
SPT(16)	944711513038579159	0 4 30 34 40 52 54 84 100 130 132 144 150 154 180 184	400129559750
SPT(16)	944711838240584599	0 58 72 118 142 168 252 258 274 280 364 390 414 460 474 532	725331565190
SPT(16)	944712044759027009	0 12 14 62 90 114 164 170 174 180 230 254 282 330 332 344	931850007600
SPT(16)	944712253167830897	0 14 44 50 92 102 114 126 170 182 194 204 246 252 282 296	1140258811488