Prime p₀= 1028461864283648789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 172 2 94 2 22 2 34 2 40 2 (?)
a_n: 0 2 78 80 252 254 348 350 372 374 408 410 450 452
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: 452
Found by: stoneageman
db: batch=76, k=14, 76 172 94 22 34 40

SPT(16)	1028461151821410757	0 6 46 76 106 130 132 160 186 214 216 240 270 300 340 346	-712462238032
TPT(14)	1028461365799966961	0 2 18 20 30 32 78 80 90 92 186 188 198 200	-498483681828
STPT(10)	1028461414350500939	0 2 48 50 90 92 132 134 180 182	-449933147850
TPT(14)	1028461453044586217	0 2 54 56 72 74 180 182 222 224 252 254 312 314	-411239062572
STPT(10)	1028461517780192339	0 2 18 20 30 32 42 44 60 62	-346503456450
SPT(16)	1028461795686031537	0 36 90 102 112 154 172 202 204 234 252 294 304 316 370 406	-68597617252
STPT(10)	1028461898555137139	0 2 18 20 30 32 42 44 60 62	34271488350
SPT(16)	1028462312004667861	0 10 16 18 40 90 100 102 166 168 178 228 250 252 258 268	447721019072
SPT(16)	1028462320444542671	0 8 20 30 32 62 72 86 132 146 156 186 188 198 210 218	456160893882
SPT(16)	1028462378669986709	0 14 42 50 122 210 224 242 252 270 284 372 444 452 480 494	514386337920
STPT(10)	1028463267391659311	0 2 36 38 78 80 120 122 156 158	1403108010522