Prime p₀= 1016801351191313789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: HenkM
db: batch=76, k=10, 2 46 2 40 2

SPT(16)	1016799549479165339	0 2 18 44 138 158 170 200 222 252 264 284 378 404 420 422	-1801712148450
SPT(16)	1016799664173463321	0 30 78 88 112 142 156 162 166 172 186 216 240 250 298 328	-1687017850468
STPT(10)	1016800026566495837	0 2 30 32 42 44 54 56 84 86	-1324624817952
SPT(16)	1016800149292895873	0 6 48 50 90 104 126 138 206 218 240 254 294 296 338 344	-1201898417916
SPT(16)	1016800209857645923	0 10 28 36 54 78 94 106 168 180 196 220 238 246 264 274	-1141333667866
SPT(16)	1016800403116644163	0 6 24 34 54 138 150 160 294 304 316 400 420 430 448 454	-948074669626
SPT(16)	1016801419405642883	0 6 48 56 78 110 150 218 306 374 414 446 468 476 518 524	68214329094
SPT(16)	1016801531496767507	0 24 56 66 74 102 116 122 144 150 164 192 200 210 242 266	180305453718
SPT(16)	1016801634629396279	0 24 104 110 122 138 140 164 198 222 224 240 252 258 338 362	283438082490
STPT(10)	1016801652001401779	0 2 42 44 60 62 78 80 120 122	300810087990
SPT(16)	1016801979489252587	0 14 24 30 74 86 96 116 204 224 234 246 290 296 306 320	628297938798