Prime p₀= 2310245718034692677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 46 2 28 2 40 2 130 2 (?)
a_n: 0 2 42 44 72 74 120 122 150 152 192 194 324 326
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: 326
Found by: FritzB
db: batch=81, k=14, 40 28 46 28 40 130

SPT(16)	2310244241053743223	0 6 64 78 88 150 166 210 214 258 274 336 346 360 418 424	-1476980949454
SPT(16)	2310244384747306619	0 2 78 170 182 210 234 260 282 308 332 360 372 464 540 542	-1333287386058
SPT(16)	2310244571407453349	0 42 60 128 132 138 260 302 348 390 512 518 522 590 608 650	-1146627239328
STPT(10)	2310245438864694311	0 2 30 32 78 80 126 128 156 158	-279169998366
SPT(16)	2310245516206964597	0 42 50 62 66 72 74 84 122 132 134 140 144 156 164 206	-201827728080
STPT(10)	2310245708184391301	0 2 36 38 78 80 120 122 156 158	-9850301376
STPT(12)	2310245718034692677	0 2 42 44 72 74 120 122 150 152 192 194	0
STPT(10)	2310246211085376869	0 2 48 50 90 92 132 134 180 182	493050684192
SPT(16)	2310246253858414189	0 28 30 42 70 94 192 208 234 250 348 372 400 412 414 442	535823721512
SPT(16)	2310246618670722593	0 8 14 68 78 108 110 114 134 138 140 170 180 234 240 248	900636029916
TPT(14)	2310246717728259017	0 2 24 26 42 44 54 56 114 116 120 122 240 242	999693566340