Prime p₀= 2948642684877683039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 42 44 72 74 78 80 108 110 138 140
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: 140
Found by: Landjunge
db: batch=82, k=14, 28 10 28 4 28 28

STPT(10)	2948641181394679889	0 2 18 20 30 32 42 44 60 62	-1503483003150
STPT(10)	2948641514617974359	0 2 30 32 60 62 90 92 120 122	-1170259708680
SPT(13)	2948641844182483651	0 48 90 102 108 132 180 228 252 258 270 312 360	-840695199388
STPT(10)	2948641933881299009	0 2 48 50 90 92 132 134 180 182	-750996384030
SPT(16)	2948641995984928699	0 10 24 40 60 70 82 112 120 150 162 172 192 208 222 232	-688892754340
SPT(16)	2948642123476777223	0 18 30 44 66 96 104 116 138 150 158 188 210 224 236 254	-561400905816
SPT(18)	2948642708681413559	0 44 54 62 128 182 200 258 320 342 404 462 480 534 600 608 618 662	23803730520
STPT(10)	2948642761661677271	0 2 36 38 78 80 120 122 156 158	76783994232
SPT(16)	2948642793864659777	0 44 56 92 110 134 144 174 182 212 222 246 264 300 312 356	108986976738
SPT(16)	2948643026527286741	0 8 42 80 92 158 170 182 228 240 252 318 330 368 402 410	341649603702
SPT(16)	2948643054239214799	0 18 42 88 90 112 132 150 190 208 228 250 252 298 322 340	369361531760