Prime p₀= 2136015433149815561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2136013951185986297	0 24 44 66 74 110 126 140 156 170 186 222 230 252 272 296	-1481963829264
SPT(16)	2136014234470339787	0 2 6 12 92 116 152 156 200 204 240 264 344 350 354 356	-1198679475774
SPT(16)	2136014285384066233	0 6 46 66 90 108 124 126 178 180 196 214 238 258 298 304	-1147765749328
STPT(10)	2136014565667444247	0 2 30 32 60 62 90 92 120 122	-867482371314
SPT(16)	2136014626534301999	0 54 78 80 98 132 134 140 162 168 170 204 222 224 248 302	-806615513562
SPT(16)	2136015333605185919	0 12 14 24 32 38 90 144 188 242 294 300 308 318 320 332	-99544629642
SPT(16)	2136015487143565003	0 28 40 54 60 64 118 160 174 216 270 274 280 294 306 334	53993749442
STPT(10)	2136015697505136047	0 2 12 14 42 44 72 74 84 86	264355320486
SPT(13)	2136015738063963719	0 18 60 78 138 144 174 204 210 270 288 330 348	304914148158
STPT(10)	2136015894412520147	0 2 30 32 42 44 54 56 84 86	461262704586
TPT(14)	2136016098793553237	0 2 30 32 72 74 162 164 174 176 204 206 240 242	665643737676