Prime p₀= 2302035316293090347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: FritzB
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2302033385277089911	0 42 46 52 72 118 150 160 168 178 210 256 276 282 286 328	-1931016000436
TPT(14)	2302034059557574499	0 2 108 110 180 182 258 260 330 332 462 464 510 512	-1256735515848
TPT(14)	2302034074362065201	0 2 6 8 90 92 138 140 198 200 228 230 306 308	-1241931025146
SPT(16)	2302034118809986621	0 16 42 46 78 100 112 132 196 216 228 250 282 286 312 328	-1197483103726
SPT(16)	2302034180378049329	0 18 32 62 84 98 134 164 168 198 234 248 270 300 314 332	-1135915041018
STPT(10)	2302035135483392339	0 2 30 32 60 62 90 92 120 122	-180809698008
STPT(10)	2302035525516398447	0 2 12 14 42 44 72 74 84 86	209223308100
SPT(16)	2302036033158687457	0 4 22 100 106 114 120 154 162 196 202 210 216 294 312 316	716865597110
STPT(10)	2302036061023847411	0 2 6 8 48 50 90 92 96 98	744730757064
SPT(16)	2302036309433868107	0 6 24 60 74 132 150 192 284 326 344 402 416 452 470 476	993140777760
SPT(16)	2302036324395301829	0 32 54 80 90 104 110 114 140 144 150 164 174 200 222 254	1008102211482