Prime p₀= 2463405466539708737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 10 2 16 2 10 2 (?)
a_n: 0 2 12 14 72 74 102 104 114 116 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=14, 10 58 28 10 16 10

SPT(16)	2463403367039205179	0 18 24 42 80 92 98 108 134 144 150 162 200 218 224 242	-2099500503558
SPT(16)	2463403896580247989	0 12 40 58 70 78 88 90 112 114 124 132 144 162 190 202	-1569959460748
SPT(16)	2463404681619574073	0 30 38 56 86 104 138 146 198 206 240 258 288 306 314 344	-784920134664
STPT(10)	2463404738069265041	0 2 6 8 18 20 30 32 36 38	-728470443696
STPT(10)	2463405361174617887	0 2 30 32 42 44 54 56 84 86	-105365090850
STPT(10)	2463405366582676379	0 2 42 44 90 92 138 140 180 182	-99957032358
SPT(16)	2463405828087336383	0 6 18 38 96 104 114 116 138 140 150 158 216 236 248 254	361547627646
SPT(16)	2463406027108539371	0 42 96 126 162 180 210 216 222 228 258 276 312 342 396 438	560568830634
STPT(10)	2463406078999183817	0 2 30 32 72 74 114 116 144 146	612459475080
SPT(16)	2463407493293745007	0 60 132 144 154 162 184 210 304 330 352 360 370 382 454 514	2026754036270
SPT(16)	2463407745211610383	0 16 46 70 90 96 106 114 130 138 148 154 174 198 228 244	2278671901646