Prime p₀= 1967985081555687587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 40 2 40 2 16 2 16 2 (?)
a_n: 0 2 84 86 120 122 162 164 204 206 222 224 240 242
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: 242
Found by: kashi
db: batch=80, k=14, 82 34 40 40 16 16

STPT(10)	1967984289069616847	0 2 30 32 42 44 54 56 84 86	-792486070740
SPT(16)	1967984328638837347	0 66 90 112 144 156 174 186 310 322 340 352 384 406 430 496	-752916850240
STPT(10)	1967984369649415847	0 2 30 32 72 74 114 116 144 146	-711906271740
SPT(16)	1967984437115847107	0 6 12 96 122 140 182 200 216 234 276 294 320 404 410 416	-644439840480
STPT(10)	1967984552666114501	0 2 36 38 78 80 120 122 156 158	-528889573086
STPT(10)	1967984726520706631	0 2 78 80 108 110 138 140 216 218	-355034980956
STPT(10)	1967985221723252759	0 2 18 20 30 32 42 44 60 62	140167565172
SPT(16)	1967985407322271163	0 30 54 56 114 150 164 180 194 210 224 260 318 320 344 374	325766583576
STPT(10)	1967985729027634817	0 2 54 56 72 74 90 92 144 146	647471947230
SPT(16)	1967986191835525289	0 24 38 72 80 98 138 152 180 194 234 252 260 294 308 332	1110279837702
STPT(10)	1967986564370935607	0 2 42 44 72 74 102 104 144 146	1482815248020