Prime p₀= 1271881223852458181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 16 2 22 2 16 2 16 2 (?)
a_n: 0 2 96 98 138 140 156 158 180 182 198 200 216 218
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: 218
Found by: stoneageman
db: batch=77, k=14, 94 40 16 22 16 16

SPT(13)	1271880605019440971	0 18 90 126 156 210 228 246 300 330 366 438 456	-618833017210
SPT(16)	1271880646256818343	0 36 50 116 120 140 198 240 284 326 384 404 408 474 488 524	-577595639838
SPT(16)	1271880745984253549	0 8 42 84 92 102 110 212 270 372 380 390 398 440 474 482	-477868204632
STPT(10)	1271880832975966691	0 2 30 32 78 80 126 128 156 158	-390876491490
STPT(10)	1271880927368651849	0 2 18 20 30 32 42 44 60 62	-296483806332
STPT(10)	1271881051647263579	0 2 18 20 30 32 42 44 60 62	-172205194602
SPT(16)	1271881343836759829	0 32 62 122 174 188 248 270 332 354 414 428 480 540 570 602	119984301648
SPT(16)	1271882279521725593	0 66 68 74 96 116 126 200 204 278 288 308 330 336 338 404	1055669267412
STPT(10)	1271882392983121859	0 2 18 20 60 62 102 104 120 122	1169130663678
SPT(16)	1271882493778629529	0 24 54 70 88 90 118 130 132 144 172 174 192 208 238 262	1269926171348
STPT(10)	1271882511924730931	0 2 36 38 78 80 120 122 156 158	1288072272750