Prime p₀= 2636734588288985447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 28 2 46 2 40 2 58 2 (?)
a_n: 0 2 90 92 102 104 132 134 180 182 222 224 282 284
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: 284
Found by: biodoc
db: batch=82, k=14, 88 10 28 46 40 58

SPT(16)	2636732953877009683	0 36 48 64 76 78 108 124 150 166 196 198 210 226 238 274	-1634411975764
SPT(16)	2636733000344820877	0 12 76 90 120 126 180 196 246 262 316 322 352 366 430 442	-1587944164570
SPT(16)	2636733218750965889	0 2 8 42 44 74 114 128 174 188 228 258 260 294 300 302	-1369538019558
SPT(16)	2636733666284535869	0 50 72 102 104 128 140 164 168 192 204 228 230 260 282 332	-922004449578
SPT(16)	2636734056544692047	0 26 42 54 86 102 110 132 164 186 194 210 242 254 270 296	-531744293400
STPT(10)	2636734551695815721	0 2 36 38 168 170 300 302 336 338	-36593169726
STPT(10)	2636734989688160057	0 2 30 32 72 74 114 116 144 146	401399174610
STPT(10)	2636735146420024577	0 2 12 14 72 74 132 134 144 146	558131039130
SPT(16)	2636735410275241549	0 24 28 60 172 192 204 214 228 238 250 270 382 414 418 442	821986256102
STPT(10)	2636736069388307597	0 2 60 62 72 74 84 86 144 146	1481099322150
SPT(16)	2636736129208577729	0 14 32 42 50 84 144 182 282 320 380 414 422 432 450 464	1540919592282