Prime p₀= 1117599829125628631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: stoneageman
db: batch=76, k=10, 2 124 2 40 2

SPT(16)	1117598626509369799	0 12 72 78 100 114 144 202 210 268 298 312 334 340 400 412	-1202616258832
STPT(10)	1117598736426957017	0 2 72 74 102 104 132 134 204 206	-1092698671614
STPT(10)	1117598814117213929	0 2 42 44 90 92 138 140 180 182	-1015008414702
SPT(16)	1117599162239792707	0 4 16 46 96 150 172 186 220 234 256 310 360 390 402 406	-666885835924
SPT(16)	1117599301132168739	0 24 80 98 128 132 140 170 192 222 230 234 264 282 338 362	-527993459892
STPT(10)	1117599745369504091	0 2 30 32 78 80 126 128 156 158	-83756124540
STPT(10)	1117599880940788547	0 2 30 32 42 44 54 56 84 86	51815159916
STPT(10)	1117599996822195251	0 2 30 32 78 80 126 128 156 158	167696566620
TPT(14)	1117600649020317101	0 2 48 50 96 98 120 122 180 182 210 212 246 248	819894688470
SPT(16)	1117600653048488429	0 30 42 72 132 140 162 174 200 212 234 242 302 332 344 374	823922859798
STPT(10)	1117601411265759377	0 2 12 14 42 44 72 74 84 86	1582140130746