Prime p₀= 2699599012232709071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 64 2 10 2 28 2 16 2 52 2 (?)
a_n: 0 2 90 92 156 158 168 170 198 200 216 218 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 88 64 10 28 16 52

STPT(10)	2699597867883294491	0 2 36 38 78 80 120 122 156 158	-1144349414580
STPT(10)	2699598299396736467	0 2 30 32 72 74 114 116 144 146	-712835972604
STPT(10)	2699598609360796901	0 2 6 8 18 20 30 32 36 38	-402871912170
SPT(16)	2699598808175714327	0 12 36 42 60 72 80 86 150 156 164 176 194 200 224 236	-204056994744
TPT(14)	2699598863641149011	0 2 78 80 90 92 120 122 168 170 216 218 258 260	-148591560060
SPT(18)	2699598980011424779	0 18 78 100 138 178 198 214 228 274 288 304 324 364 402 424 484 502	-32221284292
SPT(16)	2699599035606458129	0 18 42 72 144 182 222 224 258 260 300 338 410 440 464 482	23373749058
STPT(10)	2699599163577473081	0 2 36 38 138 140 240 242 276 278	151344764010
SPT(16)	2699599729720751831	0 2 12 32 36 68 122 128 150 156 210 242 246 266 276 278	717488042760
STPT(10)	2699600319527434577	0 2 42 44 72 74 102 104 144 146	1307294725506
SPT(16)	2699600350706675389	0 10 22 28 30 54 72 78 184 190 208 232 234 240 252 262	1338473966318